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0.3x+1=7x+3
We move all terms to the left:
0.3x+1-(7x+3)=0
We get rid of parentheses
0.3x-7x-3+1=0
We add all the numbers together, and all the variables
-6.7x-2=0
We move all terms containing x to the left, all other terms to the right
-6.7x=2
x=2/-6.7
x=-1/3.35
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