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2x+2-\left(x-1\right)=0
Use the distributive property to multiply 2 by x+1.
2x+2-x-\left(-1\right)=0
To find the opposite of x-1, find the opposite of each term.
2x+2-x+1=0
The opposite of -1 is 1.
x+2+1=0
Combine 2x and -x to get x.
x+3=0
Add 2 and 1 to get 3.
x=-3
Subtract 3 from both sides. Anything subtracted from zero gives its negation.