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Simplifying 5(-4x + 9) = 5(6x + 5) Reorder the terms: 5(9 + -4x) = 5(6x + 5) (9 * 5 + -4x * 5) = 5(6x + 5) (45 + -20x) = 5(6x + 5) Reorder the terms: 45 + -20x = 5(5 + 6x) 45 + -20x = (5 * 5 + 6x * 5) 45 + -20x = (25 + 30x) Solving 45 + -20x = 25 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 45 + -20x + -30x = 25 + 30x + -30x Combine like terms: -20x + -30x = -50x 45 + -50x = 25 + 30x + -30x Combine like terms: 30x + -30x = 0 45 + -50x = 25 + 0 45 + -50x = 25 Add '-45' to each side of the equation. 45 + -45 + -50x = 25 + -45 Combine like terms: 45 + -45 = 0 0 + -50x = 25 + -45 -50x = 25 + -45 Combine like terms: 25 + -45 = -20 -50x = -20 Divide each side by '-50'. x = 0.4 Simplifying x = 0.4
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