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