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