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"I don’t relish this situation, but if one thing is clear based on the response from the grass roots, it’s that leadership’s actions will backfire," Amash wrote in a post to his Facebook page. "If they think kicking me off of a committee will lead me to abandon my principles or stifle my bipartisan work toward a balanced budget, I have a message for them: You’re dead wrong."

On Friday, he signed a letter with Reps. Tim Huelskamp (R-Kan.) and David SchweikertDavid SchweikertDems launch early '18 attacks on GOP Senate targets Republicans add 13 members to Financial Services, Ways and Means committees The Hill's 12:30 Report MORE (R-Ariz.) — who had also been removed from their committee seats — asking for "a full and complete written explanation of the rationale for removing us from our current committee assignments, including any 'scorecards' presented to the Steering Committee to justify our removals."

BoehnerJohn BoehnerLast Congress far from ‘do-nothing’ Top aide: Obama worried about impeachment for Syria actions An anti-government ideologue like Mulvaney shouldn't run OMB MORE responded Monday, saying “there is no scorecard or any other single criteria used to determine committee assignments.”

The removals have become a brewing controversy within the Republican ranks, with Tea Party groups and organizations like the Club for Growth rallying to the defense of the deposed lawmakers.

Some Republicans are also upset that Boehner has already signaled a willingness to compromise with President Obama on increased tax revenues in a deficit-reduction deal.

American Majority, a Virginia-based conservative activist group, said this week they would lobby Republicans in the House not to vote for Boehner to retain his gavel.

Last Friday, Amash said he would not commit to voting for Boehner as Speaker.

"We're going to see how the next few weeks go and whether he's willing to make amends," Amash told CNN's "Starting Point." "Right now I'm not very happy with the Speaker."