(180-(4x-24)-(2x-24))+(7x-75)=180

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Solution for (180-(4x-24)-(2x-24))+(7x-75)=180 equation: 


Simplifying
(180 + -1(4x + -24) + -1(2x + -24)) + (7x + -75) = 180

Reorder the terms:
(180 + -1(-24 + 4x) + -1(2x + -24)) + (7x + -75) = 180
(180 + (-24 * -1 + 4x * -1) + -1(2x + -24)) + (7x + -75) = 180
(180 + (24 + -4x) + -1(2x + -24)) + (7x + -75) = 180

Reorder the terms:
(180 + 24 + -4x + -1(-24 + 2x)) + (7x + -75) = 180
(180 + 24 + -4x + (-24 * -1 + 2x * -1)) + (7x + -75) = 180
(180 + 24 + -4x + (24 + -2x)) + (7x + -75) = 180

Reorder the terms:
(180 + 24 + 24 + -4x + -2x) + (7x + -75) = 180

Combine like terms: 180 + 24 = 204
(204 + 24 + -4x + -2x) + (7x + -75) = 180

Combine like terms: 204 + 24 = 228
(228 + -4x + -2x) + (7x + -75) = 180

Combine like terms: -4x + -2x = -6x
(228 + -6x) + (7x + -75) = 180

Remove parenthesis around (228 + -6x)
228 + -6x + (7x + -75) = 180

Reorder the terms:
228 + -6x + (-75 + 7x) = 180

Remove parenthesis around (-75 + 7x)
228 + -6x + -75 + 7x = 180

Reorder the terms:
228 + -75 + -6x + 7x = 180

Combine like terms: 228 + -75 = 153
153 + -6x + 7x = 180

Combine like terms: -6x + 7x = 1x
153 + 1x = 180

Solving
153 + 1x = 180

Solving for variable 'x'.

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

Add '-153' to each side of the equation.
153 + -153 + 1x = 180 + -153

Combine like terms: 153 + -153 = 0
0 + 1x = 180 + -153
1x = 180 + -153

Combine like terms: 180 + -153 = 27
1x = 27

Divide each side by '1'.
x = 27

Simplifying
x = 27

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