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6x-1/5=-7x-586/5
We move all terms to the left:
6x-1/5-(-7x-586/5)=0
We get rid of parentheses
6x+7x+586/5-1/5=0
We multiply all the terms by the denominator
6x*5+7x*5+586-1=0
We add all the numbers together, and all the variables
6x*5+7x*5+585=0
Wy multiply elements
30x+35x+585=0
We add all the numbers together, and all the variables
65x+585=0
We move all terms containing x to the left, all other terms to the right
65x=-585
x=-585/65
x=-9
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