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3x-9-6-\left(-7x\right)=15
To find the opposite of 6-7x, find the opposite of each term.
3x-9-6+7x=15
The opposite of -7x is 7x.
3x-15+7x=15
Subtract 6 from -9 to get -15.
10x-15=15
Combine 3x and 7x to get 10x.
10x=15+15
Add 15 to both sides.
10x=30
Add 15 and 15 to get 30.
x=\frac{30}{10}
Divide both sides by 10.
x=3
Divide 30 by 10 to get 3.