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2x-2+7x=-2
Add 7x to both sides.
9x-2=-2
Combine 2x and 7x to get 9x.
9x=-2+2
Add 2 to both sides.
9x=0
Add -2 and 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 9 is not equal to 0, x must be equal to 0.