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0.12=x(0.15)+(1-x)(0.1)
We move all terms to the left:
0.12-(x(0.15)+(1-x)(0.1))=0
We add all the numbers together, and all the variables
-(x(0.15)+(-1x+1)(0.1))+0.12=0
We multiply parentheses ..
-(x(0.15)+(-0.1x+0.1))+0.12=0
We calculate terms in parentheses: -(x(0.15)+(-0.1x+0.1)), so:We get rid of parentheses
x(0.15)+(-0.1x+0.1)
We multiply parentheses
0.15x+(-0.1x+0.1)
We get rid of parentheses
0.15x-0.1x+0.1
We add all the numbers together, and all the variables
0.05x+0.1
Back to the equation:
-(0.05x+0.1)
-0.05x-0.1+0.12=0
We add all the numbers together, and all the variables
-0.05x+0.02=0
We move all terms containing x to the left, all other terms to the right
-0.05x=-0.02
x=-0.02/-0.05
x=0.02/0.05
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