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2x-2=-2\left(3x+1\right)
Use the distributive property to multiply 2 by x-1.
2x-2=-6x-2
Use the distributive property to multiply -2 by 3x+1.
2x-2+6x=-2
Add 6x to both sides.
8x-2=-2
Combine 2x and 6x to get 8x.
8x=-2+2
Add 2 to both sides.
8x=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 8 is not equal to 0, x must be equal to 0.