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2x+0.5x+0.25x+1=100
Combine x and x to get 2x.
2.5x+0.25x+1=100
Combine 2x and 0.5x to get 2.5x.
2.75x+1=100
Combine 2.5x and 0.25x to get 2.75x.
2.75x=100-1
Subtract 1 from both sides.
2.75x=99
Subtract 1 from 100 to get 99.
x=\frac{99}{2.75}
Divide both sides by 2.75.
x=\frac{9900}{275}
Expand \frac{99}{2.75} by multiplying both numerator and the denominator by 100.
x=36
Divide 9900 by 275 to get 36.