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-\frac{1}{4}\times \frac{4}{7}=x
Multiply both sides by \frac{4}{7}, the reciprocal of \frac{7}{4}.
\frac{-4}{4\times 7}=x
Multiply -\frac{1}{4} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.
\frac{-1}{7}=x
Cancel out 4 in both numerator and denominator.
-\frac{1}{7}=x
Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.
x=-\frac{1}{7}
Swap sides so that all variable terms are on the left hand side.