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1=0.1x+-0.7x+-5
We move all terms to the left:
1-(0.1x+-0.7x+-5)=0
We add all the numbers together, and all the variables
-(-0.6x)+1=0
We get rid of parentheses
0.6x+1=0
We move all terms containing x to the left, all other terms to the right
0.6x=-1
x=-1/0.6
x=-1+0.4/0.6
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