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Reid Supports Gillibrand's Military Sexual Assault Bill

AP Photo / Tina Fineberg

"I'm going to support Gillibrand," he said. "Senator [Carl] Levin knows that. People can disagree with the reasoning... But I've looked at it... I think [the committee] did some good stuff."

Senate Minority Leader Mitch McConnell (R-KY) wouldn't say Tuesday if he supports her proposal. He said he's still listening to the different arguments.

The issue of how to deal with sexual assault in the military has scrambled party lines, as some senators from both parties prefer a more modest reform backed by Sen. Claire McCaskill (D-MO) and the Armed Services Committee.