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-6\times \frac{7}{2}=x
Multiply both sides by \frac{7}{2}, the reciprocal of \frac{2}{7}.
\frac{-6\times 7}{2}=x
Express -6\times \frac{7}{2} as a single fraction.
\frac{-42}{2}=x
Multiply -6 and 7 to get -42.
-21=x
Divide -42 by 2 to get -21.
x=-21
Swap sides so that all variable terms are on the left hand side.