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0.7x+1=0.3x-0.6
We move all terms to the left:
0.7x+1-(0.3x-0.6)=0
We get rid of parentheses
0.7x-0.3x+0.6+1=0
We add all the numbers together, and all the variables
0.4x+1.6=0
We move all terms containing x to the left, all other terms to the right
0.4x=-1.6
x=-1.6/0.4
x=-4
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