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10+x+x=0
Add x to both sides.
10+2x=0
Combine x and x to get 2x.
2x=-10
Subtract 10 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-10}{2}
Divide both sides by 2.
x=-5
Divide -10 by 2 to get -5.