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-\left(x+6\right)=7-\left(-7\right)
Variable x cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by x+6.
-x-6=7-\left(-7\right)
To find the opposite of x+6, find the opposite of each term.
-x-6=7+7
The opposite of -7 is 7.
-x-6=14
Add 7 and 7 to get 14.
-x=14+6
Add 6 to both sides.
-x=20
Add 14 and 6 to get 20.
x=-20
Multiply both sides by -1.