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3x-x^{2}+18=-x^{2}-3
Use the distributive property to multiply x+3 by 6-x and combine like terms.
3x-x^{2}+18+x^{2}=-3
Add x^{2} to both sides.
3x+18=-3
Combine -x^{2} and x^{2} to get 0.
3x=-3-18
Subtract 18 from both sides.
3x=-21
Subtract 18 from -3 to get -21.
x=\frac{-21}{3}
Divide both sides by 3.
x=-7
Divide -21 by 3 to get -7.