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0.6666666(6x-9)+0.333333(6x-9)=3
We move all terms to the left:
0.6666666(6x-9)+0.333333(6x-9)-(3)=0
We multiply parentheses
3.9999996x+1.999998x-5.9999994-2.999997-3=0
We add all the numbers together, and all the variables
5.9999976x-11.9999964=0
We move all terms containing x to the left, all other terms to the right
5.9999976x=11.9999964
x=11.9999964/5.9999976
x=2+1.19999999981E-6/5.9999976
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