WASHINGTON — Hillary Clinton’s lead over Donald Trump in key battleground states has collapsed.

The race in 13 combined swing states is now deadlocked with Clinton and Trump tied at 42 percent — a one-point slide for Clinton since last week and a two-percentage-point decline since Labor Day weekend, according to new CBS News Battleground Tracker polls.

The dead-heat survey was taken among 4,202 registered voters in 13 battleground states: Arizona, Colorado, Florida, Georgia, Iowa, Michigan, Nevada, New Hampshire, North Carolina, Ohio, Pennsylvania, Virginia and Wisconsin.

The slide for Clinton in competitive states reflects her dip in national polls following an August that was heavy on private fundraisers and lighter on public appearances, while Trump shook up his campaign leadership and offered a more disciplined message. Clinton was also sidelined last week after her near-collapse at the 9/11 memorial and her belated public disclosure she had pneumonia.

Clinton leads Trump 42 to 40 percent nationally — within the margin of error — with Libertarian Gary Johnson at 8 percent and Green Party candidate Jill Stein at 3 percent, according to a new Morning Consult poll out Sunday.

Among voters in the 13 battleground states, Trump is viewed as the change candidate, 47 percent to 20 percent for Clinton. But Clinton leads 47 percent to 39 percent as being trusted to handle the day-to-day job of being president. Clinton also has the presidential edge in who is more trusted to make America proud: 43 to 34 percent.

In another sign of how deeply divided the country is, 86 percent of Democrats say the country might be “damaged beyond repair” under a Trump presidency, whereas 83 percent of Republicans think the country might be “damaged beyond repair” if Clinton wins.