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100x+400\times 100+12.5=300\times 70
Multiply both sides of the equation by 100.
100x+40000+12.5=300\times 70
Multiply 400 and 100 to get 40000.
100x+40012.5=300\times 70
Add 40000 and 12.5 to get 40012.5.
100x+40012.5=21000
Multiply 300 and 70 to get 21000.
100x=21000-40012.5
Subtract 40012.5 from both sides.
100x=-19012.5
Subtract 40012.5 from 21000 to get -19012.5.
x=\frac{-19012.5}{100}
Divide both sides by 100.
x=\frac{-190125}{1000}
Expand \frac{-19012.5}{100} by multiplying both numerator and the denominator by 10.
x=-\frac{1521}{8}
Reduce the fraction \frac{-190125}{1000} to lowest terms by extracting and canceling out 125.