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6x-36+4x=106
Use the distributive property to multiply -4 by 9-x.
10x-36=106
Combine 6x and 4x to get 10x.
10x=106+36
Add 36 to both sides.
10x=142
Add 106 and 36 to get 142.
x=\frac{142}{10}
Divide both sides by 10.
x=\frac{71}{5}
Reduce the fraction \frac{142}{10} to lowest terms by extracting and canceling out 2.