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6x-144+4x=100
Use the distributive property to multiply -4 by 36-x.
10x-144=100
Combine 6x and 4x to get 10x.
10x=100+144
Add 144 to both sides.
10x=244
Add 100 and 144 to get 244.
x=\frac{244}{10}
Divide both sides by 10.
x=\frac{122}{5}
Reduce the fraction \frac{244}{10} to lowest terms by extracting and canceling out 2.