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.068=(x)(.12)+(1-x)(.02)
We move all terms to the left:
.068-((x)(.12)+(1-x)(.02))=0
We add all the numbers together, and all the variables
-(x(0.12)+(-1x+1)(0.02))+.068=0
We add all the numbers together, and all the variables
-(x(0.12)+(-1x+1)(0.02))+0.068=0
We multiply parentheses ..
-(x(0.12)+(-0.02x+0.02))+0.068=0
We calculate terms in parentheses: -(x(0.12)+(-0.02x+0.02)), so:We get rid of parentheses
x(0.12)+(-0.02x+0.02)
We multiply parentheses
0.12x+(-0.02x+0.02)
We get rid of parentheses
0.12x-0.02x+0.02
We add all the numbers together, and all the variables
0.1x+0.02
Back to the equation:
-(0.1x+0.02)
-0.1x-0.02+0.068=0
We add all the numbers together, and all the variables
-0.1x+0.048=0
We move all terms containing x to the left, all other terms to the right
-0.1x=-0.048
x=-0.048/-0.1
x=0.048/0.1
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