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Simplifying 36(25 + -5.5x) = 13(5x + -9) + 43.9 (25 * 36 + -5.5x * 36) = 13(5x + -9) + 43.9 (900 + -198x) = 13(5x + -9) + 43.9 Reorder the terms: 900 + -198x = 13(-9 + 5x) + 43.9 900 + -198x = (-9 * 13 + 5x * 13) + 43.9 900 + -198x = (-117 + 65x) + 43.9 Reorder the terms: 900 + -198x = -117 + 43.9 + 65x Combine like terms: -117 + 43.9 = -73.1 900 + -198x = -73.1 + 65x Solving 900 + -198x = -73.1 + 65x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-65x' to each side of the equation. 900 + -198x + -65x = -73.1 + 65x + -65x Combine like terms: -198x + -65x = -263x 900 + -263x = -73.1 + 65x + -65x Combine like terms: 65x + -65x = 0 900 + -263x = -73.1 + 0 900 + -263x = -73.1 Add '-900' to each side of the equation. 900 + -900 + -263x = -73.1 + -900 Combine like terms: 900 + -900 = 0 0 + -263x = -73.1 + -900 -263x = -73.1 + -900 Combine like terms: -73.1 + -900 = -973.1 -263x = -973.1 Divide each side by '-263'. x = 3.7 Simplifying x = 3.7
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