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.6666666666(3x+6)=4x+3
We move all terms to the left:
.6666666666(3x+6)-(4x+3)=0
We multiply parentheses
1.9999999998x-(4x+3)+3.9999999996=0
We get rid of parentheses
1.9999999998x-4x-3+3.9999999996=0
We add all the numbers together, and all the variables
-2.0000000002x+0.9999999996=0
We move all terms containing x to the left, all other terms to the right
-2.0000000002x=-0.9999999996
x=-0.9999999996/-2.0000000002
x=0.9999999996/2.0000000002
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