(((20*11)+80)*(5.5-x))+(((100*11)-320)*(11-5.5))=660

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Solution for (((20*11)+80)*(5.5-x))+(((100*11)-320)*(11-5.5))=660 equation: 


Simplifying
(((20 * 11) + 80)(5.5 + -1x)) + (((100 * 11) + -320)(11 + -5.5)) = 660

Multiply 20 * 11
(((220) + 80)(5.5 + -1x)) + (((100 * 11) + -320)(11 + -5.5)) = 660
((220 + 80)(5.5 + -1x)) + (((100 * 11) + -320)(11 + -5.5)) = 660

Combine like terms: 220 + 80 = 300
((300)(5.5 + -1x)) + (((100 * 11) + -320)(11 + -5.5)) = 660
((5.5 * 300 + -1x * 300)) + (((100 * 11) + -320)(11 + -5.5)) = 660
((1650 + -300x)) + (((100 * 11) + -320)(11 + -5.5)) = 660
(1650 + -300x) + (((100 * 11) + -320)(11 + -5.5)) = 660

Remove parenthesis around (1650 + -300x)
1650 + -300x + (((100 * 11) + -320)(11 + -5.5)) = 660

Multiply 100 * 11
1650 + -300x + (((1100) + -320)(11 + -5.5)) = 660
1650 + -300x + ((1100 + -320)(11 + -5.5)) = 660

Combine like terms: 1100 + -320 = 780
1650 + -300x + ((780)(11 + -5.5)) = 660

Combine like terms: 11 + -5.5 = 5.5
1650 + -300x + (780(5.5)) = 660

Multiply 780 * 5.5
1650 + -300x + (4290) = 660
1650 + -300x + 4290 = 660

Reorder the terms:
1650 + 4290 + -300x = 660

Combine like terms: 1650 + 4290 = 5940
5940 + -300x = 660

Solving
5940 + -300x = 660

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5940' to each side of the equation.
5940 + -5940 + -300x = 660 + -5940

Combine like terms: 5940 + -5940 = 0
0 + -300x = 660 + -5940
-300x = 660 + -5940

Combine like terms: 660 + -5940 = -5280
-300x = -5280

Divide each side by '-300'.
x = 17.6

Simplifying
x = 17.6

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