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-3(x-5)=22+4x
We move all terms to the left:
-3(x-5)-(22+4x)=0
We add all the numbers together, and all the variables
-3(x-5)-(4x+22)=0
We multiply parentheses
-3x-(4x+22)+15=0
We get rid of parentheses
-3x-4x-22+15=0
We add all the numbers together, and all the variables
-7x-7=0
We move all terms containing x to the left, all other terms to the right
-7x=7
x=7/-7
x=-1
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