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x=42\left(-\frac{5}{6}\right)
Multiply both sides by -\frac{5}{6}, the reciprocal of -\frac{6}{5}.
x=\frac{42\left(-5\right)}{6}
Express 42\left(-\frac{5}{6}\right) as a single fraction.
x=\frac{-210}{6}
Multiply 42 and -5 to get -210.
x=-35
Divide -210 by 6 to get -35.