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6(5x-5)-5(4x-15)=3(3x+4)-1
We simplify the equation to the form, which is simple to understand
6(5x-5)-5(4x-15)=3(3x+4)-1
Reorder the terms in parentheses
+(+30x-30)-5*(4x-15)=3*(3x+4)-1
Remove unnecessary parentheses
+30x-30-5+*(+4x-15+)=+3+*(+3x+4+)-1
Reorder the terms in parentheses
+30x-30+(-20x+75)=3*(3x+4)-1
Remove unnecessary parentheses
+30x-30-20x+75=+3+*(+3x+4+)-1
Reorder the terms in parentheses
+30x-30-20x+75=+(+9x+12)-1
Remove unnecessary parentheses
+30x-30-20x+75=+9x+12-1
We move all terms containing x to the left and all other terms to the right.
+30x-20x-9x=+12-1+30-75
We simplify left and right side of the equation.
+1x=-34
We divide both sides of the equation by 1 to get x.
x=-34
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