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4(x+3)=3x+8

We move all terms to the left:

4(x+3)-(3x+8)=0

We multiply parentheses

4x-(3x+8)+12=0

We get rid of parentheses

4x-3x-8+12=0

We add all the numbers together, and all the variables

x+4=0

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

x=-4

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