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100(6x-10)=40(405+100x)
We move all terms to the left:
100(6x-10)-(40(405+100x))=0
We add all the numbers together, and all the variables
100(6x-10)-(40(100x+405))=0
We multiply parentheses
600x-(40(100x+405))-1000=0
We calculate terms in parentheses: -(40(100x+405)), so:We get rid of parentheses
40(100x+405)
We multiply parentheses
4000x+16200
Back to the equation:
-(4000x+16200)
600x-4000x-16200-1000=0
We add all the numbers together, and all the variables
-3400x-17200=0
We move all terms containing x to the left, all other terms to the right
-3400x=17200
x=17200/-3400
x=-5+1/17
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