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100+\frac{1}{10}+x=15
Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.
\frac{1000}{10}+\frac{1}{10}+x=15
Convert 100 to fraction \frac{1000}{10}.
\frac{1000+1}{10}+x=15
Since \frac{1000}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.
\frac{1001}{10}+x=15
Add 1000 and 1 to get 1001.
x=15-\frac{1001}{10}
Subtract \frac{1001}{10} from both sides.
x=\frac{150}{10}-\frac{1001}{10}
Convert 15 to fraction \frac{150}{10}.
x=\frac{150-1001}{10}
Since \frac{150}{10} and \frac{1001}{10} have the same denominator, subtract them by subtracting their numerators.
x=-\frac{851}{10}
Subtract 1001 from 150 to get -851.