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x-119=-5\left(x+7\right)
Variable x cannot be equal to -7 since division by zero is not defined. Multiply both sides of the equation by x+7.
x-119=-5x-35
Use the distributive property to multiply -5 by x+7.
x-119+5x=-35
Add 5x to both sides.
6x-119=-35
Combine x and 5x to get 6x.
6x=-35+119
Add 119 to both sides.
6x=84
Add -35 and 119 to get 84.
x=\frac{84}{6}
Divide both sides by 6.
x=14
Divide 84 by 6 to get 14.