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4\left(\frac{1}{2}x-\frac{25}{100}\right)
Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.
4\left(\frac{1}{2}x-\frac{1}{4}\right)
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
4\times \frac{1}{2}x+4\left(-\frac{1}{4}\right)
Use the distributive property to multiply 4 by \frac{1}{2}x-\frac{1}{4}.
\frac{4}{2}x+4\left(-\frac{1}{4}\right)
Multiply 4 and \frac{1}{2} to get \frac{4}{2}.
2x+4\left(-\frac{1}{4}\right)
Divide 4 by 2 to get 2.
2x-1
Cancel out 4 and 4.
4\left(\frac{1}{2}x-\frac{25}{100}\right)
Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.
4\left(\frac{1}{2}x-\frac{1}{4}\right)
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
4\times \frac{1}{2}x+4\left(-\frac{1}{4}\right)
Use the distributive property to multiply 4 by \frac{1}{2}x-\frac{1}{4}.
\frac{4}{2}x+4\left(-\frac{1}{4}\right)
Multiply 4 and \frac{1}{2} to get \frac{4}{2}.
2x+4\left(-\frac{1}{4}\right)
Divide 4 by 2 to get 2.
2x-1
Cancel out 4 and 4.