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5(x-8)+3(x-9)+1=0
We simplify the equation to the form, which is simple to understand
5(x-8)+3(x-9)+1=0
Reorder the terms in parentheses
+(+5x-40)+3*(x-9)+1=0
Remove unnecessary parentheses
+5x-40+3+*(+x-9+)+1=0
Reorder the terms in parentheses
+5x-40+(+3x-27)+1=0
Remove unnecessary parentheses
+5x-40+3x-27+1=0
We move all terms containing x to the left and all other terms to the right.
+5x+3x=0+40+27-1
We simplify left and right side of the equation.
+8x=+66
We divide both sides of the equation by 8 to get x.
x=8.25
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