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35\left(-\frac{4}{5}\right)=x
Multiply both sides by -\frac{4}{5}, the reciprocal of -\frac{5}{4}.
\frac{35\left(-4\right)}{5}=x
Express 35\left(-\frac{4}{5}\right) as a single fraction.
\frac{-140}{5}=x
Multiply 35 and -4 to get -140.
-28=x
Divide -140 by 5 to get -28.
x=-28
Swap sides so that all variable terms are on the left hand side.