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8x+9+x=0
Add x to both sides.
9x+9=0
Combine 8x and x to get 9x.
9x=-9
Subtract 9 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-9}{9}
Divide both sides by 9.
x=-1
Divide -9 by 9 to get -1.