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7x+6=15x+7x+1
We move all terms to the left:
7x+6-(15x+7x+1)=0
We add all the numbers together, and all the variables
7x-(22x+1)+6=0
We get rid of parentheses
7x-22x-1+6=0
We add all the numbers together, and all the variables
-15x+5=0
We move all terms containing x to the left, all other terms to the right
-15x=-5
x=-5/-15
x=1/3
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