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800(52-x)-500(54+x)=17200
We move all terms to the left:
800(52-x)-500(54+x)-(17200)=0
We add all the numbers together, and all the variables
800(-1x+52)-500(x+54)-17200=0
We multiply parentheses
-800x-500x+41600-27000-17200=0
We add all the numbers together, and all the variables
-1300x-2600=0
We move all terms containing x to the left, all other terms to the right
-1300x=2600
x=2600/-1300
x=-2
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