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(7)0.04(x-5)=0.2(10-13x)+x
We move all terms to the left:
(7)0.04(x-5)-(0.2(10-13x)+x)=0
We add all the numbers together, and all the variables
70.04(x-5)-(0.2(-13x+10)+x)=0
We multiply parentheses
70.04x-(0.2(-13x+10)+x)-350.2=0
We calculate terms in parentheses: -(0.2(-13x+10)+x), so:We get rid of parentheses
0.2(-13x+10)+x
We add all the numbers together, and all the variables
x+0.2(-13x+10)
We multiply parentheses
x-2.6x+2
We add all the numbers together, and all the variables
-1.6x+2
Back to the equation:
-(-1.6x+2)
70.04x+1.6x-2-350.2=0
We add all the numbers together, and all the variables
71.64x-352.2=0
We move all terms containing x to the left, all other terms to the right
71.64x=352.2
x=352.2/71.64
x=4+40.024390243903/43.682926829269
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