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“Big labor unions spent hundreds of millions of dollars to elect President Obama, and he has been repaying them ever since,” said Andrea Saul, a spokeswoman for Mr. Romney. “Union bosses have repeatedly attacked Mitt Romney in this campaign because they know he will end the sweetheart deals they have enjoyed under President Obama.”

Mr. Trumka hit back at the former Massachusetts governor in his own talk with reporters Tuesday.

“Mitt Romney doesn’t have a clue what workers go through,” Mr. Trumka said.