Story highlights Hillary Clinton is attacking Donald Trump for rejecting climate science

Clinton's allies hope their differences on the issue could help sway millennial voters

Washington (CNN) Donald Trump's rejection of climate science has Hillary Clinton's campaign -- and her environmentalist allies -- sensing a fresh opportunity to reach millennial voters.

The Democratic nominee highlighted her divide with Trump over climate change on the University of New Hampshire's campus Wednesday -- telling the crowd she "never thought when I gave my acceptance speech at the Democratic National Convention that I would have to put in the following sentence: I believe in science."

"Climate change is real, it is serious and we have to be united and committed in addressing it," she said.

Her comments come as Clinton and her allies -- particularly NextGen Climate and the League of Conservation Voters -- seize on a key moment in Monday night's presidential debate.

Clinton accused Trump Monday of believing that climate change is "a hoax perpetrated by the Chinese." Trump interjected, insisting, "I don't say that." However, as social media users quickly discovered, he had said exactly that in a 2012 tweet.

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