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-7x=2\left(x-9\right)
Variable x cannot be equal to 9 since division by zero is not defined. Multiply both sides of the equation by 7\left(x-9\right), the least common multiple of 9-x,7.
-7x=2x-18
Use the distributive property to multiply 2 by x-9.
-7x-2x=-18
Subtract 2x from both sides.
-9x=-18
Combine -7x and -2x to get -9x.
x=\frac{-18}{-9}
Divide both sides by -9.
x=2
Divide -18 by -9 to get 2.