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0.6x-1.4=-1.3x+9.6
We move all terms to the left:
0.6x-1.4-(-1.3x+9.6)=0
We get rid of parentheses
0.6x+1.3x-9.6-1.4=0
We add all the numbers together, and all the variables
1.9x-11=0
We move all terms containing x to the left, all other terms to the right
1.9x=11
x=11/1.9
x=5+1/1.26666666667
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