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6/7x+1=-1/7x-1
We move all terms to the left:
6/7x+1-(-1/7x-1)=0
Domain of the equation: 7x!=0
x!=0/7
x!=0
x∈R
Domain of the equation: 7x-1)!=0We get rid of parentheses
x∈R
6/7x+1/7x+1+1=0
We multiply all the terms by the denominator
1*7x+1*7x+6+1=0
We add all the numbers together, and all the variables
1*7x+1*7x+7=0
Wy multiply elements
7x+7x+7=0
We add all the numbers together, and all the variables
14x+7=0
We move all terms containing x to the left, all other terms to the right
14x=-7
x=-7/14
x=-1/2
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