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-\left(-x\right)-7-2\left(-4-3x\right)=8
To find the opposite of -x+7, find the opposite of each term.
-\left(-x\right)-7+8+6x=8
Use the distributive property to multiply -2 by -4-3x.
-\left(-x\right)+1+6x=8
Add -7 and 8 to get 1.
-\left(-x\right)+6x=8-1
Subtract 1 from both sides.
-\left(-x\right)+6x=7
Subtract 1 from 8 to get 7.
x+6x=7
Multiply -1 and -1 to get 1.
7x=7
Combine x and 6x to get 7x.
x=\frac{7}{7}
Divide both sides by 7.
x=1
Divide 7 by 7 to get 1.