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-x does not equal 1/x. There isn't even a solution for x: -x = 1/x

Multiply both sides by x:

-x2=1

x=sqrt(-1)There is no value for the square root of -1, so there is not solution.

(If you are using imaginary numbers, then x=i is a solution to the equation.)

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Q: Does negative x equal 1 divided by x and if so then what is the proof?
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