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x=\frac{1}{6}\left(-3\right)
Multiply both sides by -3, the reciprocal of -\frac{1}{3}.
x=\frac{-3}{6}
Multiply \frac{1}{6} and -3 to get \frac{-3}{6}.
x=-\frac{1}{2}
Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.