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Simplifying 5(9x + 8) + -5(4x + -1) = 0 Reorder the terms: 5(8 + 9x) + -5(4x + -1) = 0 (8 * 5 + 9x * 5) + -5(4x + -1) = 0 (40 + 45x) + -5(4x + -1) = 0 Reorder the terms: 40 + 45x + -5(-1 + 4x) = 0 40 + 45x + (-1 * -5 + 4x * -5) = 0 40 + 45x + (5 + -20x) = 0 Reorder the terms: 40 + 5 + 45x + -20x = 0 Combine like terms: 40 + 5 = 45 45 + 45x + -20x = 0 Combine like terms: 45x + -20x = 25x 45 + 25x = 0 Solving 45 + 25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 25x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 25x = 0 + -45 25x = 0 + -45 Combine like terms: 0 + -45 = -45 25x = -45 Divide each side by '25'. x = -1.8 Simplifying x = -1.8
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