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4/x+1=-2/x+7
We move all terms to the left:
4/x+1-(-2/x+7)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+7)!=0We get rid of parentheses
x∈R
4/x+2/x-7+1=0
We multiply all the terms by the denominator
-7*x+1*x+4+2=0
We add all the numbers together, and all the variables
-6x+6=0
We move all terms containing x to the left, all other terms to the right
-6x=-6
x=-6/-6
x=1
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