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0.1x+(x+6)-0.7x=0.4(2x-2)+8.4
We move all terms to the left:
0.1x+(x+6)-0.7x-(0.4(2x-2)+8.4)=0
We add all the numbers together, and all the variables
-0.6x+(x+6)-(0.4(2x-2)+8.4)=0
We get rid of parentheses
-0.6x+x-(0.4(2x-2)+8.4)+6=0
We calculate terms in parentheses: -(0.4(2x-2)+8.4), so:We add all the numbers together, and all the variables
0.4(2x-2)+8.4
We multiply parentheses
0.8x-0.8+8.4
We add all the numbers together, and all the variables
0.8x+7.6
Back to the equation:
-(0.8x+7.6)
0.4x-(0.8x+7.6)+6=0
We get rid of parentheses
0.4x-0.8x-7.6+6=0
We add all the numbers together, and all the variables
-0.4x-1.6=0
We move all terms containing x to the left, all other terms to the right
-0.4x=1.6
x=1.6/-0.4
x=-4
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