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2x+43=8.4x-1
We move all terms to the left:
2x+43-(8.4x-1)=0
We get rid of parentheses
2x-8.4x+1+43=0
We add all the numbers together, and all the variables
-6.4x+44=0
We move all terms containing x to the left, all other terms to the right
-6.4x=-44
x=-44/-6.4
x=6+3.5/4
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