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Simplifying (12x + -24) + (3x + -6) + (6x + 12) = 180 Reorder the terms: (-24 + 12x) + (3x + -6) + (6x + 12) = 180 Remove parenthesis around (-24 + 12x) -24 + 12x + (3x + -6) + (6x + 12) = 180 Reorder the terms: -24 + 12x + (-6 + 3x) + (6x + 12) = 180 Remove parenthesis around (-6 + 3x) -24 + 12x + -6 + 3x + (6x + 12) = 180 Reorder the terms: -24 + 12x + -6 + 3x + (12 + 6x) = 180 Remove parenthesis around (12 + 6x) -24 + 12x + -6 + 3x + 12 + 6x = 180 Reorder the terms: -24 + -6 + 12 + 12x + 3x + 6x = 180 Combine like terms: -24 + -6 = -30 -30 + 12 + 12x + 3x + 6x = 180 Combine like terms: -30 + 12 = -18 -18 + 12x + 3x + 6x = 180 Combine like terms: 12x + 3x = 15x -18 + 15x + 6x = 180 Combine like terms: 15x + 6x = 21x -18 + 21x = 180 Solving -18 + 21x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 21x = 180 + 18 Combine like terms: -18 + 18 = 0 0 + 21x = 180 + 18 21x = 180 + 18 Combine like terms: 180 + 18 = 198 21x = 198 Divide each side by '21'. x = 9.428571429 Simplifying x = 9.428571429
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