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1.166666667x+8=3x-9
We move all terms to the left:
1.166666667x+8-(3x-9)=0
We get rid of parentheses
1.166666667x-3x+9+8=0
We add all the numbers together, and all the variables
-1.833333333x+17=0
We move all terms containing x to the left, all other terms to the right
-1.833333333x=-17
x=-17/-1.833333333
x=9+0.500000003/1.833333333
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