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6\left(-\frac{3}{2}\right)=x
Multiply both sides by -\frac{3}{2}.
\frac{6\left(-3\right)}{2}=x
Express 6\left(-\frac{3}{2}\right) as a single fraction.
\frac{-18}{2}=x
Multiply 6 and -3 to get -18.
-9=x
Divide -18 by 2 to get -9.
x=-9
Swap sides so that all variable terms are on the left hand side.