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6x+6=2+4x

We move all terms to the left:

6x+6-(2+4x)=0

We add all the numbers together, and all the variables

6x-(4x+2)+6=0

We get rid of parentheses

6x-4x-2+6=0

We add all the numbers together, and all the variables

2x+4=0

We move all terms containing x to the left, all other terms to the right

2x=-4

x=-4/2

x=-2

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