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(x+4)/(x+1)=100
We move all terms to the left:
(x+4)/(x+1)-(100)=0
Domain of the equation: (x+1)!=0We multiply all the terms by the denominator
We move all terms containing x to the left, all other terms to the right
x!=-1
x∈R
(x+4)-100*(x+1)=0
We multiply parentheses
(x+4)-100x-100=0
We get rid of parentheses
x-100x+4-100=0
We add all the numbers together, and all the variables
-99x-96=0
We move all terms containing x to the left, all other terms to the right
-99x=96
x=96/-99
x=-32/33
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