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Simplifying 5(-4x + 8) = 5(9x + 3) Reorder the terms: 5(8 + -4x) = 5(9x + 3) (8 * 5 + -4x * 5) = 5(9x + 3) (40 + -20x) = 5(9x + 3) Reorder the terms: 40 + -20x = 5(3 + 9x) 40 + -20x = (3 * 5 + 9x * 5) 40 + -20x = (15 + 45x) Solving 40 + -20x = 15 + 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. 40 + -20x + -45x = 15 + 45x + -45x Combine like terms: -20x + -45x = -65x 40 + -65x = 15 + 45x + -45x Combine like terms: 45x + -45x = 0 40 + -65x = 15 + 0 40 + -65x = 15 Add '-40' to each side of the equation. 40 + -40 + -65x = 15 + -40 Combine like terms: 40 + -40 = 0 0 + -65x = 15 + -40 -65x = 15 + -40 Combine like terms: 15 + -40 = -25 -65x = -25 Divide each side by '-65'. x = 0.3846153846 Simplifying x = 0.3846153846
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