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10x+9-7x=0
Subtract 7x from both sides.
3x+9=0
Combine 10x and -7x to get 3x.
3x=-9
Subtract 9 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-9}{3}
Divide both sides by 3.
x=-3
Divide -9 by 3 to get -3.