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4(x+5)-0.5(x-3)(6-2x)=x2+1
We move all terms to the left:
4(x+5)-0.5(x-3)(6-2x)-(x2+1)=0
We add all the numbers together, and all the variables
-(+x^2+1)+4(x+5)-0.5(x-3)(-2x+6)=0
We multiply parentheses
-(+x^2+1)+4x-0.5(x-3)(-2x+6)+20=0
We get rid of parentheses
-x^2+4x-0.5(x-3)(-2x+6)-1+20=0
We multiply parentheses ..
-x^2-0.5(-2x^2+6x+6x-18)+4x-1+20=0
We add all the numbers together, and all the variables
-1x^2-0.5(-2x^2+6x+6x-18)+4x+19=0
We multiply parentheses
-1x^2+1x^2-3x-3x+4x+9+19=0
We add all the numbers together, and all the variables
-2x+28=0
We move all terms containing x to the left, all other terms to the right
-2x=-28
x=-28/-2
x=+14
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