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0.8888888889(3x-0.5)-0.6666666667(3x+5)=2x+7
We move all terms to the left:
0.8888888889(3x-0.5)-0.6666666667(3x+5)-(2x+7)=0
We multiply parentheses
2.6666666667x-2.0000000001x-(2x+7)-0.44444444445-3.3333333335=0
We get rid of parentheses
2.6666666667x-2.0000000001x-2x-7-0.44444444445-3.3333333335=0
We add all the numbers together, and all the variables
-1.3333333334x-10.7777777779=0
We move all terms containing x to the left, all other terms to the right
-1.3333333334x=10.7777777779
x=10.7777777779/-1.3333333334
x=-8+0.1111111107/1.3333333334
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