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x^{2}+3-x^{2}=-7x
Subtract x^{2} from both sides.
3=-7x
Combine x^{2} and -x^{2} to get 0.
-7x=3
Swap sides so that all variable terms are on the left hand side.
x=\frac{3}{-7}
Divide both sides by -7.
x=-\frac{3}{7}
Fraction \frac{3}{-7} can be rewritten as -\frac{3}{7} by extracting the negative sign.