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0.14=x(0.16)+(1-x)(0.125)
We move all terms to the left:
0.14-(x(0.16)+(1-x)(0.125))=0
We add all the numbers together, and all the variables
-(x(0.16)+(-1x+1)(0.125))+0.14=0
We multiply parentheses ..
-(x(0.16)+(-0.125x+0.125))+0.14=0
We calculate terms in parentheses: -(x(0.16)+(-0.125x+0.125)), so:We get rid of parentheses
x(0.16)+(-0.125x+0.125)
We multiply parentheses
0.16x+(-0.125x+0.125)
We get rid of parentheses
0.16x-0.125x+0.125
We add all the numbers together, and all the variables
0.035x+0.125
Back to the equation:
-(0.035x+0.125)
-0.035x-0.125+0.14=0
We add all the numbers together, and all the variables
-0.035x+0.015=0
We move all terms containing x to the left, all other terms to the right
-0.035x=-0.015
x=-0.015/-0.035
x=0.015/0.035
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