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Simplifying 4(5x + 2) + 5(5x + -1) = 0 Reorder the terms: 4(2 + 5x) + 5(5x + -1) = 0 (2 * 4 + 5x * 4) + 5(5x + -1) = 0 (8 + 20x) + 5(5x + -1) = 0 Reorder the terms: 8 + 20x + 5(-1 + 5x) = 0 8 + 20x + (-1 * 5 + 5x * 5) = 0 8 + 20x + (-5 + 25x) = 0 Reorder the terms: 8 + -5 + 20x + 25x = 0 Combine like terms: 8 + -5 = 3 3 + 20x + 25x = 0 Combine like terms: 20x + 25x = 45x 3 + 45x = 0 Solving 3 + 45x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 45x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 45x = 0 + -3 45x = 0 + -3 Combine like terms: 0 + -3 = -3 45x = -3 Divide each side by '45'. x = -0.06666666667 Simplifying x = -0.06666666667
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