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\frac{3}{37}\times \frac{7}{3}=x
Multiply both sides by \frac{7}{3}, the reciprocal of \frac{3}{7}.
\frac{3\times 7}{37\times 3}=x
Multiply \frac{3}{37} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{7}{37}=x
Cancel out 3 in both numerator and denominator.
x=\frac{7}{37}
Swap sides so that all variable terms are on the left hand side.