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5.50x+19=6.75x+10
We move all terms to the left:
5.50x+19-(6.75x+10)=0
We get rid of parentheses
5.50x-6.75x-10+19=0
We add all the numbers together, and all the variables
-1.25x+9=0
We move all terms containing x to the left, all other terms to the right
-1.25x=-9
x=-9/-1.25
x=7+0.25/1.25
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