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4-3x=7x+114
We move all terms to the left:
4-3x-(7x+114)=0
We get rid of parentheses
-3x-7x-114+4=0
We add all the numbers together, and all the variables
-10x-110=0
We move all terms containing x to the left, all other terms to the right
-10x=110
x=110/-10
x=-11
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