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Simplifying 5(-4x + 9) = 5(9x + 4) Reorder the terms: 5(9 + -4x) = 5(9x + 4) (9 * 5 + -4x * 5) = 5(9x + 4) (45 + -20x) = 5(9x + 4) Reorder the terms: 45 + -20x = 5(4 + 9x) 45 + -20x = (4 * 5 + 9x * 5) 45 + -20x = (20 + 45x) Solving 45 + -20x = 20 + 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. 45 + -20x + -45x = 20 + 45x + -45x Combine like terms: -20x + -45x = -65x 45 + -65x = 20 + 45x + -45x Combine like terms: 45x + -45x = 0 45 + -65x = 20 + 0 45 + -65x = 20 Add '-45' to each side of the equation. 45 + -45 + -65x = 20 + -45 Combine like terms: 45 + -45 = 0 0 + -65x = 20 + -45 -65x = 20 + -45 Combine like terms: 20 + -45 = -25 -65x = -25 Divide each side by '-65'. x = 0.3846153846 Simplifying x = 0.3846153846
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