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25+\frac{3}{2}\times 25=x
Reduce the fraction \frac{150}{100} to lowest terms by extracting and canceling out 50.
25+\frac{3\times 25}{2}=x
Express \frac{3}{2}\times 25 as a single fraction.
25+\frac{75}{2}=x
Multiply 3 and 25 to get 75.
\frac{50}{2}+\frac{75}{2}=x
Convert 25 to fraction \frac{50}{2}.
\frac{50+75}{2}=x
Since \frac{50}{2} and \frac{75}{2} have the same denominator, add them by adding their numerators.
\frac{125}{2}=x
Add 50 and 75 to get 125.
x=\frac{125}{2}
Swap sides so that all variable terms are on the left hand side.