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x=35\left(-\frac{9}{7}\right)
Multiply both sides by -\frac{9}{7}, the reciprocal of -\frac{7}{9}.
x=\frac{35\left(-9\right)}{7}
Express 35\left(-\frac{9}{7}\right) as a single fraction.
x=\frac{-315}{7}
Multiply 35 and -9 to get -315.
x=-45
Divide -315 by 7 to get -45.