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x+2+x=0
Add x to both sides.
2x+2=0
Combine x and x to get 2x.
2x=-2
Subtract 2 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-2}{2}
Divide both sides by 2.
x=-1
Divide -2 by 2 to get -1.