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14(3x+8)=2x+6
We move all terms to the left:
14(3x+8)-(2x+6)=0
We multiply parentheses
42x-(2x+6)+112=0
We get rid of parentheses
42x-2x-6+112=0
We add all the numbers together, and all the variables
40x+106=0
We move all terms containing x to the left, all other terms to the right
40x=-106
x=-106/40
x=-2+13/20
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