(180-(4x-79)-(x+30))+(7x-127)=180

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Solution for (180-(4x-79)-(x+30))+(7x-127)=180 equation: 


Simplifying
(180 + -1(4x + -79) + -1(x + 30)) + (7x + -127) = 180

Reorder the terms:
(180 + -1(-79 + 4x) + -1(x + 30)) + (7x + -127) = 180
(180 + (-79 * -1 + 4x * -1) + -1(x + 30)) + (7x + -127) = 180
(180 + (79 + -4x) + -1(x + 30)) + (7x + -127) = 180

Reorder the terms:
(180 + 79 + -4x + -1(30 + x)) + (7x + -127) = 180
(180 + 79 + -4x + (30 * -1 + x * -1)) + (7x + -127) = 180
(180 + 79 + -4x + (-30 + -1x)) + (7x + -127) = 180

Reorder the terms:
(180 + 79 + -30 + -4x + -1x) + (7x + -127) = 180

Combine like terms: 180 + 79 = 259
(259 + -30 + -4x + -1x) + (7x + -127) = 180

Combine like terms: 259 + -30 = 229
(229 + -4x + -1x) + (7x + -127) = 180

Combine like terms: -4x + -1x = -5x
(229 + -5x) + (7x + -127) = 180

Remove parenthesis around (229 + -5x)
229 + -5x + (7x + -127) = 180

Reorder the terms:
229 + -5x + (-127 + 7x) = 180

Remove parenthesis around (-127 + 7x)
229 + -5x + -127 + 7x = 180

Reorder the terms:
229 + -127 + -5x + 7x = 180

Combine like terms: 229 + -127 = 102
102 + -5x + 7x = 180

Combine like terms: -5x + 7x = 2x
102 + 2x = 180

Solving
102 + 2x = 180

Solving for variable 'x'.

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

Add '-102' to each side of the equation.
102 + -102 + 2x = 180 + -102

Combine like terms: 102 + -102 = 0
0 + 2x = 180 + -102
2x = 180 + -102

Combine like terms: 180 + -102 = 78
2x = 78

Divide each side by '2'.
x = 39

Simplifying
x = 39

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