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Simplifying 10(2x + 3) + -3(2x + 1) = 0 Reorder the terms: 10(3 + 2x) + -3(2x + 1) = 0 (3 * 10 + 2x * 10) + -3(2x + 1) = 0 (30 + 20x) + -3(2x + 1) = 0 Reorder the terms: 30 + 20x + -3(1 + 2x) = 0 30 + 20x + (1 * -3 + 2x * -3) = 0 30 + 20x + (-3 + -6x) = 0 Reorder the terms: 30 + -3 + 20x + -6x = 0 Combine like terms: 30 + -3 = 27 27 + 20x + -6x = 0 Combine like terms: 20x + -6x = 14x 27 + 14x = 0 Solving 27 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 14x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 14x = 0 + -27 14x = 0 + -27 Combine like terms: 0 + -27 = -27 14x = -27 Divide each side by '14'. x = -1.928571429 Simplifying x = -1.928571429
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