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x=\frac{3}{2}\left(-2\right)
Multiply both sides by -2, the reciprocal of -\frac{1}{2}.
x=\frac{3\left(-2\right)}{2}
Express \frac{3}{2}\left(-2\right) as a single fraction.
x=\frac{-6}{2}
Multiply 3 and -2 to get -6.
x=-3
Divide -6 by 2 to get -3.