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-\frac{2}{3}x=12
Combine \frac{1}{3}x and -x to get -\frac{2}{3}x.
x=12\left(-\frac{3}{2}\right)
Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.
x=\frac{12\left(-3\right)}{2}
Express 12\left(-\frac{3}{2}\right) as a single fraction.
x=\frac{-36}{2}
Multiply 12 and -3 to get -36.
x=-18
Divide -36 by 2 to get -18.