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Simplifying (10x + 6) + (5x + -3) + (9x + 12) = 360 Reorder the terms: (6 + 10x) + (5x + -3) + (9x + 12) = 360 Remove parenthesis around (6 + 10x) 6 + 10x + (5x + -3) + (9x + 12) = 360 Reorder the terms: 6 + 10x + (-3 + 5x) + (9x + 12) = 360 Remove parenthesis around (-3 + 5x) 6 + 10x + -3 + 5x + (9x + 12) = 360 Reorder the terms: 6 + 10x + -3 + 5x + (12 + 9x) = 360 Remove parenthesis around (12 + 9x) 6 + 10x + -3 + 5x + 12 + 9x = 360 Reorder the terms: 6 + -3 + 12 + 10x + 5x + 9x = 360 Combine like terms: 6 + -3 = 3 3 + 12 + 10x + 5x + 9x = 360 Combine like terms: 3 + 12 = 15 15 + 10x + 5x + 9x = 360 Combine like terms: 10x + 5x = 15x 15 + 15x + 9x = 360 Combine like terms: 15x + 9x = 24x 15 + 24x = 360 Solving 15 + 24x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 24x = 360 + -15 Combine like terms: 15 + -15 = 0 0 + 24x = 360 + -15 24x = 360 + -15 Combine like terms: 360 + -15 = 345 24x = 345 Divide each side by '24'. x = 14.375 Simplifying x = 14.375
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