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x+x\times \frac{53}{50}=3775
Reduce the fraction \frac{106}{100} to lowest terms by extracting and canceling out 2.
\frac{103}{50}x=3775
Combine x and x\times \frac{53}{50} to get \frac{103}{50}x.
x=3775\times \frac{50}{103}
Multiply both sides by \frac{50}{103}, the reciprocal of \frac{103}{50}.
x=\frac{3775\times 50}{103}
Express 3775\times \frac{50}{103} as a single fraction.
x=\frac{188750}{103}
Multiply 3775 and 50 to get 188750.