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Simplifying -9(-30x + -20) = 44(49 + 5x) Reorder the terms: -9(-20 + -30x) = 44(49 + 5x) (-20 * -9 + -30x * -9) = 44(49 + 5x) (180 + 270x) = 44(49 + 5x) 180 + 270x = (49 * 44 + 5x * 44) 180 + 270x = (2156 + 220x) Solving 180 + 270x = 2156 + 220x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-220x' to each side of the equation. 180 + 270x + -220x = 2156 + 220x + -220x Combine like terms: 270x + -220x = 50x 180 + 50x = 2156 + 220x + -220x Combine like terms: 220x + -220x = 0 180 + 50x = 2156 + 0 180 + 50x = 2156 Add '-180' to each side of the equation. 180 + -180 + 50x = 2156 + -180 Combine like terms: 180 + -180 = 0 0 + 50x = 2156 + -180 50x = 2156 + -180 Combine like terms: 2156 + -180 = 1976 50x = 1976 Divide each side by '50'. x = 39.52 Simplifying x = 39.52
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