(CNN) House Republicans revealed their new tax bill Thursday, but it's already encountering some reservations from rank-and-file members.

House Speaker Paul Ryan described the proposal, which lowers the number of tax brackets from seven to four and increases the standard deduction, as a series of tax cuts and breaks aimed at helping most Americans.

"It's very clear and obvious that the whole purpose of this is a middle-class tax cut," Ryan said in an interview with CNN's Phil Mattingly, shortly after the bill was made public. "And more to the point, we need to get faster economic growth."

Ways and Means Committee Chairman Kevin Brady said during Republicans' news conference that the tax bill "has President (Donald) Trump's full support."

The President issued a statement applauding the bill's release but added "there is much work left to do." Trump later told reporters in the Oval Office that a tax reform bill will be done "before Christmas," calling it "one of the great Christmas presents."

However, not all Republicans were happy. Rep. Lee Zeldin of New York tweeted that he planned to vote no on the bill in its current form, citing the proposal's elimination of the deduction for state and local taxes, also known as SALT.

"I am a NO to House #TaxReform bill in its current form. A lot of good aspects, but its not there yet," he tweeted, linking to a longer statement

According to the bill, individuals would still be able to deduct their local and state property taxes but only up to $10,000.

For that reason, the legislation has struck a nerve with other New York and New Jersey Republicans. Brady already made a key concession when he said that he said he would still allow individuals to deduct their property taxes in the new bill. But that wasn't enough for some who wanted to see the income deduction restored as well.

The bill, called the Tax Cuts and Jobs Act, would permanently lower the corporate tax rate to 20% and limit the home interest deduction to loans up to $500,000. The bill would also increase the standard deduction for individuals and households, repeal the alternative minimum tax and increase the child tax credit to $1,600. The House GOP bill would also repeal the estate tax in 2024.

GOP leader quotes Reagan

According to another source in the GOP meeting, Brady started his tax presentation with a quote from Ronald Reagan, the last President to sign a massive tax reform bill.

"I feel like we just played the World Series of Tax Reform and the American people won," Brady said, quoting remarks Reagan made when signing his tax overhaul from the 1980s. Brady is a Texas Republican whose Houston Astros won the World Series just hours before.

Despite the optimistic tone set by GOP leaders, there are still key questions about what will be in the bill and whether the leadership can wrangle the votes they will need to deliver President Donald Trump a major legislative victory by the end of the year.

Now, the hard work begins of both selling the bill and keeping special interests at bay. Many lobbyists on K Street and outside groups admit the GOP lawmakers have kept a tight lid on the process. Once groups see what has been cut and what has been saved, winners and losers will be defined and the fight to preserve valuable tax breaks will begin. Over the weekend, one group, the National Association of Home Builders, already came out against the not-even-released bill.

House Majority Leader Kevin McCarthy, a California Republican, notes he's from a state with high state and local taxes and says lawmakers pushing for changes need to take a broader look at how the reform package will benefit their constituents.

"What's happening is people are looking at this as one item instead of looking at everything we are doing, lowering the rate, doubling the standard deduction," McCarthy told CNN. "You're better off with this."

In advance of the bill's release, some Republicans were already criticizing the details. On Thursday, Sen. Marco Rubio tweeted that the $600 proposed child tax credit increase in the House's tax reform plan wasn't enough.

"House #TaxReform plan is only starting point.But $600 #ChildTaxCredit increase doesn't achieve our & @POTUS goal of helping working families," he wrote.

During a conversation with reporters last Wednesday, Rubio said a $2,000 child tax credit was necessary to provide tangible relief to middle-class families. In 2015, Rubio, joined by Republican Sen. Mike Lee, proposed a child tax credit worth $2,500 per child.

Lessons from health care failure

Republican leaders have argued that the party learned valuable lessons from the health care debate that crashed and burned in the Senate this summer.

But, already, the GOP encountered a setback Tuesday with deadlines when Brady announced that the bill's release would be delayed by a single day . Some members also fear the GOP's tax effort in the House has shared some frustrating parallels with Obamacare repeal.

For one, Republicans are spooked by the ambitious timeline that has been laid out by their leadership. Members are expecting to get a massive tax bill Thursday only to turn around and amend it in committee days later.

"We started differently on tax reform than we did health care, but I hope that we don't end up back on the same tracks that led us to the debacle on health care," said Rep. Mark Walker, the chairman of the Republican Study Committee. "We know this is going to be hundreds of pages and being able to take the time to process it fairly is something that is crucial."

Repealing Obamacare mandate?

Another twist that came up in the hours before the bill was released came from Trump himself.

The President tweeted Wednesday morning that he wanted to see a repeal of the individual mandate in the tax bill , a move that many House and Senate republicans openly admitted would complicate the process.

"Wouldn't it be great to Repeal the very unfair and unpopular Individual Mandate in ObamaCare and use those savings for further Tax Cuts for the Middle Class. The House and Senate should consider ASAP as the process of final approval moves along. Push Biggest Tax Cuts EVER," Trump wrote in a series of two consecutive tweets

Wouldn't it be great to Repeal the very unfair and unpopular Individual Mandate in ObamaCare and use those savings for further Tax Cuts..... — Donald J. Trump (@realDonaldTrump) November 1, 2017

"I do not believe you are going to see anything health care related in this bill -- at the eleventh hour 59 minute, 58 second mark, I don't," Republican Rep. Chris Collins of New York told reporters.

"There's no time to even deal with it, that I see," Collins said flatly, adding, "I believe we are too far along."

New Jersey GOP Rep. Tom MacArthur, who has been pressing leaders to maintain a tax deduction for property taxes told reporters he's still negotiating with leaders, and if he and others from high tax states don't get what they want in the bill unveiled tomorrow they will keep pushing as the measure moves through the legislative process.

"If the bill can't pass, there will be compromises," MacArthur said. "I guarantee you that."

This story has been updated and will continue to update with additional developments.