9(4-5(x-1))+4((2x+7)-9)=17x-332

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Solution for 9(4-5(x-1))+4((2x+7)-9)=17x-332 equation: 


Simplifying
9(4 + -5(x + -1)) + 4((2x + 7) + -9) = 17x + -332

Reorder the terms:
9(4 + -5(-1 + x)) + 4((2x + 7) + -9) = 17x + -332
9(4 + (-1 * -5 + x * -5)) + 4((2x + 7) + -9) = 17x + -332
9(4 + (5 + -5x)) + 4((2x + 7) + -9) = 17x + -332

Combine like terms: 4 + 5 = 9
9(9 + -5x) + 4((2x + 7) + -9) = 17x + -332
(9 * 9 + -5x * 9) + 4((2x + 7) + -9) = 17x + -332
(81 + -45x) + 4((2x + 7) + -9) = 17x + -332

Reorder the terms:
81 + -45x + 4((7 + 2x) + -9) = 17x + -332

Remove parenthesis around (7 + 2x)
81 + -45x + 4(7 + 2x + -9) = 17x + -332

Reorder the terms:
81 + -45x + 4(7 + -9 + 2x) = 17x + -332

Combine like terms: 7 + -9 = -2
81 + -45x + 4(-2 + 2x) = 17x + -332
81 + -45x + (-2 * 4 + 2x * 4) = 17x + -332
81 + -45x + (-8 + 8x) = 17x + -332

Reorder the terms:
81 + -8 + -45x + 8x = 17x + -332

Combine like terms: 81 + -8 = 73
73 + -45x + 8x = 17x + -332

Combine like terms: -45x + 8x = -37x
73 + -37x = 17x + -332

Reorder the terms:
73 + -37x = -332 + 17x

Solving
73 + -37x = -332 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
73 + -37x + -17x = -332 + 17x + -17x

Combine like terms: -37x + -17x = -54x
73 + -54x = -332 + 17x + -17x

Combine like terms: 17x + -17x = 0
73 + -54x = -332 + 0
73 + -54x = -332

Add '-73' to each side of the equation.
73 + -73 + -54x = -332 + -73

Combine like terms: 73 + -73 = 0
0 + -54x = -332 + -73
-54x = -332 + -73

Combine like terms: -332 + -73 = -405
-54x = -405

Divide each side by '-54'.
x = 7.5

Simplifying
x = 7.5

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