(180-(7x-135)-(x+24))+(9x-143)=180

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Solution for (180-(7x-135)-(x+24))+(9x-143)=180 equation: 


Simplifying
(180 + -1(7x + -135) + -1(x + 24)) + (9x + -143) = 180

Reorder the terms:
(180 + -1(-135 + 7x) + -1(x + 24)) + (9x + -143) = 180
(180 + (-135 * -1 + 7x * -1) + -1(x + 24)) + (9x + -143) = 180
(180 + (135 + -7x) + -1(x + 24)) + (9x + -143) = 180

Reorder the terms:
(180 + 135 + -7x + -1(24 + x)) + (9x + -143) = 180
(180 + 135 + -7x + (24 * -1 + x * -1)) + (9x + -143) = 180
(180 + 135 + -7x + (-24 + -1x)) + (9x + -143) = 180

Reorder the terms:
(180 + 135 + -24 + -7x + -1x) + (9x + -143) = 180

Combine like terms: 180 + 135 = 315
(315 + -24 + -7x + -1x) + (9x + -143) = 180

Combine like terms: 315 + -24 = 291
(291 + -7x + -1x) + (9x + -143) = 180

Combine like terms: -7x + -1x = -8x
(291 + -8x) + (9x + -143) = 180

Remove parenthesis around (291 + -8x)
291 + -8x + (9x + -143) = 180

Reorder the terms:
291 + -8x + (-143 + 9x) = 180

Remove parenthesis around (-143 + 9x)
291 + -8x + -143 + 9x = 180

Reorder the terms:
291 + -143 + -8x + 9x = 180

Combine like terms: 291 + -143 = 148
148 + -8x + 9x = 180

Combine like terms: -8x + 9x = 1x
148 + 1x = 180

Solving
148 + 1x = 180

Solving for variable 'x'.

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

Add '-148' to each side of the equation.
148 + -148 + 1x = 180 + -148

Combine like terms: 148 + -148 = 0
0 + 1x = 180 + -148
1x = 180 + -148

Combine like terms: 180 + -148 = 32
1x = 32

Divide each side by '1'.
x = 32

Simplifying
x = 32

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