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7=1/x-4
We move all terms to the left:
7-(1/x-4)=0
Domain of the equation: x-4)!=0We get rid of parentheses
x∈R
-1/x+4+7=0
We multiply all the terms by the denominator
4*x+7*x-1=0
We add all the numbers together, and all the variables
11x-1=0
We move all terms containing x to the left, all other terms to the right
11x=1
x=1/11
x=1/11
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