@Spoonman is
correct on this one - the hearings were about Bill Clinton lying under oath. Now, he used some juristic shadow jabs to get around it, but it was not about the sex itself.
Had I been Bill Clinton, I would have said the following:
My fellow Americans, I have been accused of having sex with another woman in the White House. Although this kind of stuff is no one's damned business other than my own, I will tell you, it is true. I DID have sex with that woman, and it was ******* glorious. She wins the White House Oral Seal of Approval. Now that the world knows that I have had sex with someone other than my own wife, it's time to get back to business. Thank you, and G-d bless America.
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Now, some on the Right may have been pissed that they weren't gettin as much on the side as Bill Clinton, but had he just come out and said it, would have only had a scandal and not this circus. He was already re-elected, had no future campaign to think about. Pffftt... who cares.