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2\times 9+2x\times \frac{1}{2}=2\times 7
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of x,2.
18+2x\times \frac{1}{2}=2\times 7
Multiply 2 and 9 to get 18.
18+x=2\times 7
Cancel out 2 and 2.
18+x=14
Multiply 2 and 7 to get 14.
x=14-18
Subtract 18 from both sides.
x=-4
Subtract 18 from 14 to get -4.