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\frac{x}{100}+30=\frac{x}{50+60}
Add 40 and 60 to get 100.
\frac{x}{100}+30=\frac{x}{110}
Add 50 and 60 to get 110.
\frac{x}{100}+30-\frac{x}{110}=0
Subtract \frac{x}{110} from both sides.
\frac{1}{1100}x+30=0
Combine \frac{x}{100} and -\frac{x}{110} to get \frac{1}{1100}x.
\frac{1}{1100}x=-30
Subtract 30 from both sides. Anything subtracted from zero gives its negation.
x=-30\times 1100
Multiply both sides by 1100, the reciprocal of \frac{1}{1100}.
x=-33000
Multiply -30 and 1100 to get -33000.