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\left(x-7\right)\times 2=x
Variable x cannot be equal to any of the values -7,7 since division by zero is not defined. Multiply both sides of the equation by \left(x-7\right)\left(x+7\right), the least common multiple of x+7,x^{2}-49.
2x-14=x
Use the distributive property to multiply x-7 by 2.
2x-14-x=0
Subtract x from both sides.
x-14=0
Combine 2x and -x to get x.
x=14
Add 14 to both sides. Anything plus zero gives itself.