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x+x\times \frac{3}{10}=40
Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.
\frac{13}{10}x=40
Combine x and x\times \frac{3}{10} to get \frac{13}{10}x.
x=40\times \frac{10}{13}
Multiply both sides by \frac{10}{13}, the reciprocal of \frac{13}{10}.
x=\frac{40\times 10}{13}
Express 40\times \frac{10}{13} as a single fraction.
x=\frac{400}{13}
Multiply 40 and 10 to get 400.