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x^{2}+8x-x^{2}=-4
Subtract x^{2} from both sides.
8x=-4
Combine x^{2} and -x^{2} to get 0.
x=\frac{-4}{8}
Divide both sides by 8.
x=-\frac{1}{2}
Reduce the fraction \frac{-4}{8} to lowest terms by extracting and canceling out 4.