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Simplifying (25x + 1) + (25x + -2) + (20x + -1) + 82 = 360 Reorder the terms: (1 + 25x) + (25x + -2) + (20x + -1) + 82 = 360 Remove parenthesis around (1 + 25x) 1 + 25x + (25x + -2) + (20x + -1) + 82 = 360 Reorder the terms: 1 + 25x + (-2 + 25x) + (20x + -1) + 82 = 360 Remove parenthesis around (-2 + 25x) 1 + 25x + -2 + 25x + (20x + -1) + 82 = 360 Reorder the terms: 1 + 25x + -2 + 25x + (-1 + 20x) + 82 = 360 Remove parenthesis around (-1 + 20x) 1 + 25x + -2 + 25x + -1 + 20x + 82 = 360 Reorder the terms: 1 + -2 + -1 + 82 + 25x + 25x + 20x = 360 Combine like terms: 1 + -2 = -1 -1 + -1 + 82 + 25x + 25x + 20x = 360 Combine like terms: -1 + -1 = -2 -2 + 82 + 25x + 25x + 20x = 360 Combine like terms: -2 + 82 = 80 80 + 25x + 25x + 20x = 360 Combine like terms: 25x + 25x = 50x 80 + 50x + 20x = 360 Combine like terms: 50x + 20x = 70x 80 + 70x = 360 Solving 80 + 70x = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + 70x = 360 + -80 Combine like terms: 80 + -80 = 0 0 + 70x = 360 + -80 70x = 360 + -80 Combine like terms: 360 + -80 = 280 70x = 280 Divide each side by '70'. x = 4 Simplifying x = 4
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