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7-\left(-x\right)-1=-2x-6
To find the opposite of -x+1, find the opposite of each term.
6-\left(-x\right)=-2x-6
Subtract 1 from 7 to get 6.
6-\left(-x\right)+2x=-6
Add 2x to both sides.
-\left(-x\right)+2x=-6-6
Subtract 6 from both sides.
-\left(-x\right)+2x=-12
Subtract 6 from -6 to get -12.
x+2x=-12
Multiply -1 and -1 to get 1.
3x=-12
Combine x and 2x to get 3x.
x=\frac{-12}{3}
Divide both sides by 3.
x=-4
Divide -12 by 3 to get -4.