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-\left(x+1\right)\left(-2\right)=x-8
Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1, the least common multiple of -1,x+1.
\left(-x-1\right)\left(-2\right)=x-8
To find the opposite of x+1, find the opposite of each term.
2x+2=x-8
Use the distributive property to multiply -x-1 by -2.
2x+2-x=-8
Subtract x from both sides.
x+2=-8
Combine 2x and -x to get x.
x=-8-2
Subtract 2 from both sides.
x=-10
Subtract 2 from -8 to get -10.