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x-10+11x=0
Add 11x to both sides.
12x-10=0
Combine x and 11x to get 12x.
12x=10
Add 10 to both sides. Anything plus zero gives itself.
x=\frac{10}{12}
Divide both sides by 12.
x=\frac{5}{6}
Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.