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11x=3\left(9+x\right)
Multiply both sides of the equation by 33, the least common multiple of 3,11.
11x=27+3x
Use the distributive property to multiply 3 by 9+x.
11x-3x=27
Subtract 3x from both sides.
8x=27
Combine 11x and -3x to get 8x.
x=\frac{27}{8}
Divide both sides by 8.