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-\left(-x\right)-1=-2x-6
To find the opposite of -x+1, find the opposite of each term.
-\left(-x\right)-1+2x=-6
Add 2x to both sides.
-\left(-x\right)+2x=-6+1
Add 1 to both sides.
-\left(-x\right)+2x=-5
Add -6 and 1 to get -5.
x+2x=-5
Multiply -1 and -1 to get 1.
3x=-5
Combine x and 2x to get 3x.
x=\frac{-5}{3}
Divide both sides by 3.
x=-\frac{5}{3}
Fraction \frac{-5}{3} can be rewritten as -\frac{5}{3} by extracting the negative sign.