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Simplifying 20(2x + 9) = 5(4x + 44) Reorder the terms: 20(9 + 2x) = 5(4x + 44) (9 * 20 + 2x * 20) = 5(4x + 44) (180 + 40x) = 5(4x + 44) Reorder the terms: 180 + 40x = 5(44 + 4x) 180 + 40x = (44 * 5 + 4x * 5) 180 + 40x = (220 + 20x) Solving 180 + 40x = 220 + 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 + 40x + -20x = 220 + 20x + -20x Combine like terms: 40x + -20x = 20x 180 + 20x = 220 + 20x + -20x Combine like terms: 20x + -20x = 0 180 + 20x = 220 + 0 180 + 20x = 220 Add '-180' to each side of the equation. 180 + -180 + 20x = 220 + -180 Combine like terms: 180 + -180 = 0 0 + 20x = 220 + -180 20x = 220 + -180 Combine like terms: 220 + -180 = 40 20x = 40 Divide each side by '20'. x = 2 Simplifying x = 2
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