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-2\left(1-x\right)=0
Multiply both sides of the equation by x^{2}+1.
-2+2x=0
Use the distributive property to multiply -2 by 1-x.
2x=2
Add 2 to both sides. Anything plus zero gives itself.
x=\frac{2}{2}
Divide both sides by 2.
x=1
Divide 2 by 2 to get 1.