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0.09x+0.10(200-x)=0.45x
We move all terms to the left:
0.09x+0.10(200-x)-(0.45x)=0
We add all the numbers together, and all the variables
0.09x+0.10(-1x+200)-(+0.45x)=0
We multiply parentheses
0.09x-0.1x-(+0.45x)+20=0
We get rid of parentheses
0.09x-0.1x-0.45x+20=0
We add all the numbers together, and all the variables
-0.46x+20=0
We move all terms containing x to the left, all other terms to the right
-0.46x=-20
x=-20/-0.46
x=43+0.22/0.46
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