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New polls show tight Clinton-Trump race nationally, battlegrounds

Washington(CNN) Hillary Clinton holds a slim lead over Donald Trump, a new national poll shows.

An ABC News/Washington Post tracking poll released Sunday showed Clinton ahead 46% to 45% -- narrower than Saturday's 2-point Clinton edge.

In CNN's Poll of Polls, which averages results for the five most recently released national surveys, Clinton has a 47% to 42% advantage over Trump. That's unchanged from the most recent Poll of Polls on Saturday.

At-risk Republicans revel in FBI's Clinton email announcement

The ABC/Washington Post poll found that more than 6 in 10 voters say the news that the FBI is investigating newly discovered emails that could be related to Hillary Clinton's private server will make no difference in their vote, while 3 in 10 say it makes them less likely to back Clinton.

Sunday morning also brought a new set of battleground state polls.

In North Carolina -- a must-win state for Trump -- an NBC/Wall Street Journal/Marist University poll found Clinton ahead, 47% to Trump's 41%. The same poll found Clinton ahead 48% to 43% in early October.

In Florida, an NBC/Wall Street Journal/Marist University survey shows a dead heat -- with Clinton at 45% and Trump at 44%, a one-point drop for Clinton since the same poll's last results in early October, when Clinton led 46% to 44%.

Meanwhile, a New York Times Upshot/Siena poll found Trump ahead -- 46% to 42% -- in Florida. The same poll had found the candidates even at 43% apiece in September.

Correction: An earlier version of this story incorrectly reflected The New York Times/Siena poll results in Florida.

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