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-20\times \frac{11}{4}=x
Multiply both sides by \frac{11}{4}, the reciprocal of \frac{4}{11}.
\frac{-20\times 11}{4}=x
Express -20\times \frac{11}{4} as a single fraction.
\frac{-220}{4}=x
Multiply -20 and 11 to get -220.
-55=x
Divide -220 by 4 to get -55.
x=-55
Swap sides so that all variable terms are on the left hand side.