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