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6x^{2}+18x=6x^{2}+9
Use the distributive property to multiply 3x by 2x+6.
6x^{2}+18x-6x^{2}=9
Subtract 6x^{2} from both sides.
18x=9
Combine 6x^{2} and -6x^{2} to get 0.
x=\frac{9}{18}
Divide both sides by 18.
x=\frac{1}{2}
Reduce the fraction \frac{9}{18} to lowest terms by extracting and canceling out 9.