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24\left(-\frac{7}{4}\right)=x
Multiply both sides by -\frac{7}{4}, the reciprocal of -\frac{4}{7}.
\frac{24\left(-7\right)}{4}=x
Express 24\left(-\frac{7}{4}\right) as a single fraction.
\frac{-168}{4}=x
Multiply 24 and -7 to get -168.
-42=x
Divide -168 by 4 to get -42.
x=-42
Swap sides so that all variable terms are on the left hand side.