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x\left(\frac{100}{100}+\frac{23}{100}\right)=100
Convert 1 to fraction \frac{100}{100}.
x\times \frac{100+23}{100}=100
Since \frac{100}{100} and \frac{23}{100} have the same denominator, add them by adding their numerators.
x\times \frac{123}{100}=100
Add 100 and 23 to get 123.
x=100\times \frac{100}{123}
Multiply both sides by \frac{100}{123}, the reciprocal of \frac{123}{100}.
x=\frac{100\times 100}{123}
Express 100\times \frac{100}{123} as a single fraction.
x=\frac{10000}{123}
Multiply 100 and 100 to get 10000.