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x=75+0.75x
Use the distributive property to multiply 100+x by 0.75.
x-0.75x=75
Subtract 0.75x from both sides.
0.25x=75
Combine x and -0.75x to get 0.25x.
x=\frac{75}{0.25}
Divide both sides by 0.25.
x=\frac{7500}{25}
Expand \frac{75}{0.25} by multiplying both numerator and the denominator by 100.
x=300
Divide 7500 by 25 to get 300.