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6x+9=12\times 3
Multiply both sides by 3, the reciprocal of \frac{1}{3}.
6x+9=36
Multiply 12 and 3 to get 36.
6x=36-9
Subtract 9 from both sides.
6x=27
Subtract 9 from 36 to get 27.
x=\frac{27}{6}
Divide both sides by 6.
x=\frac{9}{2}
Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.