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12x-44=52-24x
Subtract 48 from 100 to get 52.
12x-44+24x=52
Add 24x to both sides.
36x-44=52
Combine 12x and 24x to get 36x.
36x=52+44
Add 44 to both sides.
36x=96
Add 52 and 44 to get 96.
x=\frac{96}{36}
Divide both sides by 36.
x=\frac{8}{3}
Reduce the fraction \frac{96}{36} to lowest terms by extracting and canceling out 12.