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Simplifying (x + 14) + (4x + 6) + (15x + 40) = 180 Reorder the terms: (14 + x) + (4x + 6) + (15x + 40) = 180 Remove parenthesis around (14 + x) 14 + x + (4x + 6) + (15x + 40) = 180 Reorder the terms: 14 + x + (6 + 4x) + (15x + 40) = 180 Remove parenthesis around (6 + 4x) 14 + x + 6 + 4x + (15x + 40) = 180 Reorder the terms: 14 + x + 6 + 4x + (40 + 15x) = 180 Remove parenthesis around (40 + 15x) 14 + x + 6 + 4x + 40 + 15x = 180 Reorder the terms: 14 + 6 + 40 + x + 4x + 15x = 180 Combine like terms: 14 + 6 = 20 20 + 40 + x + 4x + 15x = 180 Combine like terms: 20 + 40 = 60 60 + x + 4x + 15x = 180 Combine like terms: x + 4x = 5x 60 + 5x + 15x = 180 Combine like terms: 5x + 15x = 20x 60 + 20x = 180 Solving 60 + 20x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 20x = 180 + -60 Combine like terms: 60 + -60 = 0 0 + 20x = 180 + -60 20x = 180 + -60 Combine like terms: 180 + -60 = 120 20x = 120 Divide each side by '20'. x = 6 Simplifying x = 6
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