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Simplifying (5x + 15) + (1x + 20) + (14x + -5) = 180 Reorder the terms: (15 + 5x) + (1x + 20) + (14x + -5) = 180 Remove parenthesis around (15 + 5x) 15 + 5x + (1x + 20) + (14x + -5) = 180 Reorder the terms: 15 + 5x + (20 + 1x) + (14x + -5) = 180 Remove parenthesis around (20 + 1x) 15 + 5x + 20 + 1x + (14x + -5) = 180 Reorder the terms: 15 + 5x + 20 + 1x + (-5 + 14x) = 180 Remove parenthesis around (-5 + 14x) 15 + 5x + 20 + 1x + -5 + 14x = 180 Reorder the terms: 15 + 20 + -5 + 5x + 1x + 14x = 180 Combine like terms: 15 + 20 = 35 35 + -5 + 5x + 1x + 14x = 180 Combine like terms: 35 + -5 = 30 30 + 5x + 1x + 14x = 180 Combine like terms: 5x + 1x = 6x 30 + 6x + 14x = 180 Combine like terms: 6x + 14x = 20x 30 + 20x = 180 Solving 30 + 20x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 20x = 180 + -30 Combine like terms: 30 + -30 = 0 0 + 20x = 180 + -30 20x = 180 + -30 Combine like terms: 180 + -30 = 150 20x = 150 Divide each side by '20'. x = 7.5 Simplifying x = 7.5
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