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10\left(x+1\right)=11x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 10x, the least common multiple of x,10.
10x+10=11x
Use the distributive property to multiply 10 by x+1.
10x+10-11x=0
Subtract 11x from both sides.
-x+10=0
Combine 10x and -11x to get -x.
-x=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
x=10
Multiply both sides by -1.