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x=-\frac{4}{9}\times \frac{4}{3}
Multiply both sides by \frac{4}{3}, the reciprocal of \frac{3}{4}.
x=\frac{-4\times 4}{9\times 3}
Multiply -\frac{4}{9} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.
x=\frac{-16}{27}
Do the multiplications in the fraction \frac{-4\times 4}{9\times 3}.
x=-\frac{16}{27}
Fraction \frac{-16}{27} can be rewritten as -\frac{16}{27} by extracting the negative sign.