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\frac{5}{1000}\left(5000+1000x\right)
Expand \frac{0.5}{100} by multiplying both numerator and the denominator by 10.
\frac{1}{200}\left(5000+1000x\right)
Reduce the fraction \frac{5}{1000} to lowest terms by extracting and canceling out 5.
\frac{1}{200}\times 5000+\frac{1}{200}\times 1000x
Use the distributive property to multiply \frac{1}{200} by 5000+1000x.
\frac{5000}{200}+\frac{1}{200}\times 1000x
Multiply \frac{1}{200} and 5000 to get \frac{5000}{200}.
25+\frac{1}{200}\times 1000x
Divide 5000 by 200 to get 25.
25+\frac{1000}{200}x
Multiply \frac{1}{200} and 1000 to get \frac{1000}{200}.
25+5x
Divide 1000 by 200 to get 5.
\frac{5}{1000}\left(5000+1000x\right)
Expand \frac{0.5}{100} by multiplying both numerator and the denominator by 10.
\frac{1}{200}\left(5000+1000x\right)
Reduce the fraction \frac{5}{1000} to lowest terms by extracting and canceling out 5.
\frac{1}{200}\times 5000+\frac{1}{200}\times 1000x
Use the distributive property to multiply \frac{1}{200} by 5000+1000x.
\frac{5000}{200}+\frac{1}{200}\times 1000x
Multiply \frac{1}{200} and 5000 to get \frac{5000}{200}.
25+\frac{1}{200}\times 1000x
Divide 5000 by 200 to get 25.
25+\frac{1000}{200}x
Multiply \frac{1}{200} and 1000 to get \frac{1000}{200}.
25+5x
Divide 1000 by 200 to get 5.