(180-(7x-157)-(x+34))+(6x-53)=180

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Solution for (180-(7x-157)-(x+34))+(6x-53)=180 equation: 


Simplifying
(180 + -1(7x + -157) + -1(x + 34)) + (6x + -53) = 180

Reorder the terms:
(180 + -1(-157 + 7x) + -1(x + 34)) + (6x + -53) = 180
(180 + (-157 * -1 + 7x * -1) + -1(x + 34)) + (6x + -53) = 180
(180 + (157 + -7x) + -1(x + 34)) + (6x + -53) = 180

Reorder the terms:
(180 + 157 + -7x + -1(34 + x)) + (6x + -53) = 180
(180 + 157 + -7x + (34 * -1 + x * -1)) + (6x + -53) = 180
(180 + 157 + -7x + (-34 + -1x)) + (6x + -53) = 180

Reorder the terms:
(180 + 157 + -34 + -7x + -1x) + (6x + -53) = 180

Combine like terms: 180 + 157 = 337
(337 + -34 + -7x + -1x) + (6x + -53) = 180

Combine like terms: 337 + -34 = 303
(303 + -7x + -1x) + (6x + -53) = 180

Combine like terms: -7x + -1x = -8x
(303 + -8x) + (6x + -53) = 180

Remove parenthesis around (303 + -8x)
303 + -8x + (6x + -53) = 180

Reorder the terms:
303 + -8x + (-53 + 6x) = 180

Remove parenthesis around (-53 + 6x)
303 + -8x + -53 + 6x = 180

Reorder the terms:
303 + -53 + -8x + 6x = 180

Combine like terms: 303 + -53 = 250
250 + -8x + 6x = 180

Combine like terms: -8x + 6x = -2x
250 + -2x = 180

Solving
250 + -2x = 180

Solving for variable 'x'.

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

Add '-250' to each side of the equation.
250 + -250 + -2x = 180 + -250

Combine like terms: 250 + -250 = 0
0 + -2x = 180 + -250
-2x = 180 + -250

Combine like terms: 180 + -250 = -70
-2x = -70

Divide each side by '-2'.
x = 35

Simplifying
x = 35

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