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Simplifying (6x + -18) + (3x + 17) + (4x + 12) = 180 Reorder the terms: (-18 + 6x) + (3x + 17) + (4x + 12) = 180 Remove parenthesis around (-18 + 6x) -18 + 6x + (3x + 17) + (4x + 12) = 180 Reorder the terms: -18 + 6x + (17 + 3x) + (4x + 12) = 180 Remove parenthesis around (17 + 3x) -18 + 6x + 17 + 3x + (4x + 12) = 180 Reorder the terms: -18 + 6x + 17 + 3x + (12 + 4x) = 180 Remove parenthesis around (12 + 4x) -18 + 6x + 17 + 3x + 12 + 4x = 180 Reorder the terms: -18 + 17 + 12 + 6x + 3x + 4x = 180 Combine like terms: -18 + 17 = -1 -1 + 12 + 6x + 3x + 4x = 180 Combine like terms: -1 + 12 = 11 11 + 6x + 3x + 4x = 180 Combine like terms: 6x + 3x = 9x 11 + 9x + 4x = 180 Combine like terms: 9x + 4x = 13x 11 + 13x = 180 Solving 11 + 13x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 13x = 180 + -11 Combine like terms: 11 + -11 = 0 0 + 13x = 180 + -11 13x = 180 + -11 Combine like terms: 180 + -11 = 169 13x = 169 Divide each side by '13'. x = 13 Simplifying x = 13
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