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6x+3.4=4.3x+5.1
We move all terms to the left:
6x+3.4-(4.3x+5.1)=0
We get rid of parentheses
6x-4.3x-5.1+3.4=0
We add all the numbers together, and all the variables
1.7x-1.7=0
We move all terms containing x to the left, all other terms to the right
1.7x=1.7
x=1.7/1.7
x=1
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