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2x+13=22.5
We move all terms to the left:
2x+13-(22.5)=0
We add all the numbers together, and all the variables
2x-9.5=0
We move all terms containing x to the left, all other terms to the right
2x=9.5
x=9.5/2
x=4+1/1.3333333333333
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