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Simplifying (4x + -15) + (5x + 11) + (5x + 5) + (6x + 19) = 360 Reorder the terms: (-15 + 4x) + (5x + 11) + (5x + 5) + (6x + 19) = 360 Remove parenthesis around (-15 + 4x) -15 + 4x + (5x + 11) + (5x + 5) + (6x + 19) = 360 Reorder the terms: -15 + 4x + (11 + 5x) + (5x + 5) + (6x + 19) = 360 Remove parenthesis around (11 + 5x) -15 + 4x + 11 + 5x + (5x + 5) + (6x + 19) = 360 Reorder the terms: -15 + 4x + 11 + 5x + (5 + 5x) + (6x + 19) = 360 Remove parenthesis around (5 + 5x) -15 + 4x + 11 + 5x + 5 + 5x + (6x + 19) = 360 Reorder the terms: -15 + 4x + 11 + 5x + 5 + 5x + (19 + 6x) = 360 Remove parenthesis around (19 + 6x) -15 + 4x + 11 + 5x + 5 + 5x + 19 + 6x = 360 Reorder the terms: -15 + 11 + 5 + 19 + 4x + 5x + 5x + 6x = 360 Combine like terms: -15 + 11 = -4 -4 + 5 + 19 + 4x + 5x + 5x + 6x = 360 Combine like terms: -4 + 5 = 1 1 + 19 + 4x + 5x + 5x + 6x = 360 Combine like terms: 1 + 19 = 20 20 + 4x + 5x + 5x + 6x = 360 Combine like terms: 4x + 5x = 9x 20 + 9x + 5x + 6x = 360 Combine like terms: 9x + 5x = 14x 20 + 14x + 6x = 360 Combine like terms: 14x + 6x = 20x 20 + 20x = 360 Solving 20 + 20x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 20x = 360 + -20 Combine like terms: 20 + -20 = 0 0 + 20x = 360 + -20 20x = 360 + -20 Combine like terms: 360 + -20 = 340 20x = 340 Divide each side by '20'. x = 17 Simplifying x = 17
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