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10x=9\left(x+1\right)
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by 10\left(x+1\right), the least common multiple of x+1,10.
10x=9x+9
Use the distributive property to multiply 9 by x+1.
10x-9x=9
Subtract 9x from both sides.
x=9
Combine 10x and -9x to get x.