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x-\frac{7}{10}x=30
Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.
\frac{3}{10}x=30
Combine x and -\frac{7}{10}x to get \frac{3}{10}x.
x=30\times \frac{10}{3}
Multiply both sides by \frac{10}{3}, the reciprocal of \frac{3}{10}.
x=\frac{30\times 10}{3}
Express 30\times \frac{10}{3} as a single fraction.
x=\frac{300}{3}
Multiply 30 and 10 to get 300.
x=100
Divide 300 by 3 to get 100.