Does the seller have to pay for mechanical problems on my newlt purchased car, if he specifically said there wasn't any when I bought it less than a week ago?

Question Details: I bought a used car from a private seller 4 days ago. I had 2 witnesses that heard from the seller himself that there was nothing mechanically wrong with it. Then 4 days later, the transmission went out and the transmission shop told me that the transmission went out. He also said that from the look of it, this wasn't a sudden thing and that it looked like it was ready to go out at any moment for a while. Is there anything that I can do to not have to pay the transmission cost out of pocket since the main reason I bought it was because it was suppose to be mechanically sound?

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