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0.45x+3.6=0.6x-1.8
We move all terms to the left:
0.45x+3.6-(0.6x-1.8)=0
We get rid of parentheses
0.45x-0.6x+1.8+3.6=0
We add all the numbers together, and all the variables
-0.15x+5.4=0
We move all terms containing x to the left, all other terms to the right
-0.15x=-5.4
x=-5.4/-0.15
x=36+8.8817841970013E-16/0.15
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