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7x-6=-3x+9
Combine x and -4x to get -3x.
7x-6+3x=9
Add 3x to both sides.
10x-6=9
Combine 7x and 3x to get 10x.
10x=9+6
Add 6 to both sides.
10x=15
Add 9 and 6 to get 15.
x=\frac{15}{10}
Divide both sides by 10.
x=\frac{3}{2}
Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.