(6x-6)+(7x+1)+55=180

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Solution for (6x-6)+(7x+1)+55=180 equation:


Simplifying
(6x + -6) + (7x + 1) + 55 = 180

Reorder the terms:
(-6 + 6x) + (7x + 1) + 55 = 180

Remove parenthesis around (-6 + 6x)
-6 + 6x + (7x + 1) + 55 = 180

Reorder the terms:
-6 + 6x + (1 + 7x) + 55 = 180

Remove parenthesis around (1 + 7x)
-6 + 6x + 1 + 7x + 55 = 180

Reorder the terms:
-6 + 1 + 55 + 6x + 7x = 180

Combine like terms: -6 + 1 = -5
-5 + 55 + 6x + 7x = 180

Combine like terms: -5 + 55 = 50
50 + 6x + 7x = 180

Combine like terms: 6x + 7x = 13x
50 + 13x = 180

Solving
50 + 13x = 180

Solving for variable 'x'.

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

Add '-50' to each side of the equation.
50 + -50 + 13x = 180 + -50

Combine like terms: 50 + -50 = 0
0 + 13x = 180 + -50
13x = 180 + -50

Combine like terms: 180 + -50 = 130
13x = 130

Divide each side by '13'.
x = 10

Simplifying
x = 10

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