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22=5(-8+10x)+9(10-4x)
We move all terms to the left:
22-(5(-8+10x)+9(10-4x))=0
We add all the numbers together, and all the variables
-(5(10x-8)+9(-4x+10))+22=0
We calculate terms in parentheses: -(5(10x-8)+9(-4x+10)), so:We get rid of parentheses
5(10x-8)+9(-4x+10)
We multiply parentheses
50x-36x-40+90
We add all the numbers together, and all the variables
14x+50
Back to the equation:
-(14x+50)
-14x-50+22=0
We add all the numbers together, and all the variables
-14x-28=0
We move all terms containing x to the left, all other terms to the right
-14x=28
x=28/-14
x=-2
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