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3(2x-7)-10(8-6x)+6(-3x+3)=-3(5-5x)
We simplify the equation to the form, which is simple to understand
3(2x-7)-10(8-6x)+6(-3x+3)=-3(5-5x)
Reorder the terms in parentheses
+(+6x-21)-10*(8-6x)+6*(-3x+3)=-3*(5-5x)
Remove unnecessary parentheses
+6x-21-10+*(+8-6x+)+6+*(-3x+3+)=-3+*(+5-5x+)
Reorder the terms in parentheses
+6x-21+(-80+60x)+6*(-3x+3)=-3*(5-5x)
Remove unnecessary parentheses
+6x-21-80+60x+6+*(-3x+3+)=-3+*(+5-5x+)
Reorder the terms in parentheses
+6x-21-80+60x+(-18x+18)=-3*(5-5x)
Remove unnecessary parentheses
+6x-21-80+60x-18x+18=-3+*(+5-5x+)
Reorder the terms in parentheses
+6x-21-80+60x-18x+18=+(-15+15x)
Remove unnecessary parentheses
+6x-21-80+60x-18x+18=-15+15x
We move all terms containing x to the left and all other terms to the right.
+6x+60x-18x-15x=-15+21+80-18
We simplify left and right side of the equation.
+33x=+68
We divide both sides of the equation by 33 to get x.
x=2.06060606061
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