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2\times 7+7=x
Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+8\right), the least common multiple of x+8,2x+16.
14+7=x
Multiply 2 and 7 to get 14.
21=x
Add 14 and 7 to get 21.
x=21
Swap sides so that all variable terms are on the left hand side.