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x=\frac{-\frac{9}{11}}{-6}
Divide both sides by -6.
x=\frac{-9}{11\left(-6\right)}
Express \frac{-\frac{9}{11}}{-6} as a single fraction.
x=\frac{-9}{-66}
Multiply 11 and -6 to get -66.
x=\frac{3}{22}
Reduce the fraction \frac{-9}{-66} to lowest terms by extracting and canceling out -3.