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Overall, she said, the House committee reached the same conclusions as the council.

“And I’m glad about that,” Ms. Cheh said. “It just confirms in my mind what I believed all along; namely, that we really don’t need an outside entity to examine and look into issues here in the District.”

The U.S. Attorney’s Office is still conducting a criminal probe of the claims, and news reports suggest Mr. Brooks is cooperating with investigators, including the use of a wire to tape conversations with unnamed players.

Mr. Gray, a Democrat, has repeatedly denied the accusations and says he has not spoken to Mr. Brooks this year.

Mr. Brown received a $110,000 a-year job at the D.C. Department of Healthcare Finance, but was fired in February over reports about his past and performance on the job, prompting his accusations against Mr. Gray.

The mayor, Ms. Green and Mr. Gray’s former chief of staff, Gerri Mason Hall, told the House committee they never promised Mr. Brown a seat in city government. Mr. Brooks cited his Fifth Amendment privilege to remain silent.

In weighing the parties’ testimony, the committee said that “Brown has limited credibility.”

Mr. Brown tried to distort his criminal record and withheld certain text messages from the investigation and threatened various parties after his firing, according to the committee.

The House committee noted that a background check on Mr. Brown produced “negative material”; however, Ms. Hall did not read it or forward it to the appropriate personnel.

“The vetting of Brown by the Mayor’s office was a ‘screw-up,’ in the words of Hall,” the committee said.