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4x+7=1-6x
We move all terms to the left:
4x+7-(1-6x)=0
We add all the numbers together, and all the variables
4x-(-6x+1)+7=0
We get rid of parentheses
4x+6x-1+7=0
We add all the numbers together, and all the variables
10x+6=0
We move all terms containing x to the left, all other terms to the right
10x=-6
x=-6/10
x=-3/5
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