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2.7x-14.57=4.6
We move all terms to the left:
2.7x-14.57-(4.6)=0
We add all the numbers together, and all the variables
2.7x-19.17=0
We move all terms containing x to the left, all other terms to the right
2.7x=19.17
x=19.17/2.7
x=7+0.27/2.7
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