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