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7x-5=2x+4.25x=
We move all terms to the left:
7x-5-(2x+4.25x)=0
We add all the numbers together, and all the variables
7x-(+6.25x)-5=0
We get rid of parentheses
7x-6.25x-5=0
We add all the numbers together, and all the variables
0.75x-5=0
We move all terms containing x to the left, all other terms to the right
0.75x=5
x=5/0.75
x=6+0.5/0.75
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