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(-5x)+1/(-9x+9)=1
We move all terms to the left:
(-5x)+1/(-9x+9)-(1)=0
Domain of the equation: (-9x+9)!=0We get rid of parentheses
We move all terms containing x to the left, all other terms to the right
-9x!=-9
x!=-9/-9
x!=1
x∈R
-5x+1/(-9x+9)-1=0
We multiply all the terms by the denominator
-5x*(-9x+9)-1*(-9x+9)+1=0
We multiply parentheses
45x^2-45x-1*(-9x+9)+1=0
We move all terms containing x to the left, all other terms to the right
45x^2-45x-1*(-9x+9)=-1
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