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Simplifying 4(x + 5) = 9(3 + -5x) Reorder the terms: 4(5 + x) = 9(3 + -5x) (5 * 4 + x * 4) = 9(3 + -5x) (20 + 4x) = 9(3 + -5x) 20 + 4x = (3 * 9 + -5x * 9) 20 + 4x = (27 + -45x) Solving 20 + 4x = 27 + -45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45x' to each side of the equation. 20 + 4x + 45x = 27 + -45x + 45x Combine like terms: 4x + 45x = 49x 20 + 49x = 27 + -45x + 45x Combine like terms: -45x + 45x = 0 20 + 49x = 27 + 0 20 + 49x = 27 Add '-20' to each side of the equation. 20 + -20 + 49x = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 49x = 27 + -20 49x = 27 + -20 Combine like terms: 27 + -20 = 7 49x = 7 Divide each side by '49'. x = 0.1428571429 Simplifying x = 0.1428571429
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