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x-6x+4=2+2\left(3x+1\right)
Use the distributive property to multiply -2 by 3x-2.
-5x+4=2+2\left(3x+1\right)
Combine x and -6x to get -5x.
-5x+4=2+6x+2
Use the distributive property to multiply 2 by 3x+1.
-5x+4=4+6x
Add 2 and 2 to get 4.
-5x+4-6x=4
Subtract 6x from both sides.
-11x+4=4
Combine -5x and -6x to get -11x.
-11x=4-4
Subtract 4 from both sides.
-11x=0
Subtract 4 from 4 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since -11 is not equal to 0, x must be equal to 0.