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Number 3 can be simplified to (x+3)/(x-4)

did you read my comment.

Yes and it is equal to x-1 (as long as x≠1)

and “equal (as long as x≠1)” isn’t the same as just being equal

It is it's "root", it's "zero", and to answer your question, yes, it is not the same

then the 5 above expressions are in simplest form, QED

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