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9+x\left(-9\right)=27x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
9+x\left(-9\right)-27x=0
Subtract 27x from both sides.
9-36x=0
Combine x\left(-9\right) and -27x to get -36x.
-36x=-9
Subtract 9 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-9}{-36}
Divide both sides by -36.
x=\frac{1}{4}
Reduce the fraction \frac{-9}{-36} to lowest terms by extracting and canceling out -9.