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13.82+0.13x=14.57+0.15x
We move all terms to the left:
13.82+0.13x-(14.57+0.15x)=0
We add all the numbers together, and all the variables
0.13x-(0.15x+14.57)+13.82=0
We get rid of parentheses
0.13x-0.15x-14.57+13.82=0
We add all the numbers together, and all the variables
-0.02x-0.75=0
We move all terms containing x to the left, all other terms to the right
-0.02x=0.75
x=0.75/-0.02
x=-37+0.01/0.02
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