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0.5(3x+5)=13
We move all terms to the left:
0.5(3x+5)-(13)=0
We multiply parentheses
1.5x+2.5-13=0
We add all the numbers together, and all the variables
1.5x-10.5=0
We move all terms containing x to the left, all other terms to the right
1.5x=10.5
x=10.5/1.5
x=7
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