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6.941=(x)(7.016)+(1-x)(6.015)
We move all terms to the left:
6.941-((x)(7.016)+(1-x)(6.015))=0
We add all the numbers together, and all the variables
-(x(7.016)+(-1x+1)(6.015))+6.941=0
We multiply parentheses ..
-(x(7.016)+(-6.015x+6.015))+6.941=0
We calculate terms in parentheses: -(x(7.016)+(-6.015x+6.015)), so:We get rid of parentheses
x(7.016)+(-6.015x+6.015)
We multiply parentheses
7.016x+(-6.015x+6.015)
We get rid of parentheses
7.016x-6.015x+6.015
We add all the numbers together, and all the variables
1.001x+6.015
Back to the equation:
-(1.001x+6.015)
-1.001x-6.015+6.941=0
We add all the numbers together, and all the variables
-1.001x+0.926=0
We move all terms containing x to the left, all other terms to the right
-1.001x=-0.926
x=-0.926/-1.001
x=0.926/1.001
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