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Simplifying 5(4x + 8) + -3(2x + -7) = 0 Reorder the terms: 5(8 + 4x) + -3(2x + -7) = 0 (8 * 5 + 4x * 5) + -3(2x + -7) = 0 (40 + 20x) + -3(2x + -7) = 0 Reorder the terms: 40 + 20x + -3(-7 + 2x) = 0 40 + 20x + (-7 * -3 + 2x * -3) = 0 40 + 20x + (21 + -6x) = 0 Reorder the terms: 40 + 21 + 20x + -6x = 0 Combine like terms: 40 + 21 = 61 61 + 20x + -6x = 0 Combine like terms: 20x + -6x = 14x 61 + 14x = 0 Solving 61 + 14x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-61' to each side of the equation. 61 + -61 + 14x = 0 + -61 Combine like terms: 61 + -61 = 0 0 + 14x = 0 + -61 14x = 0 + -61 Combine like terms: 0 + -61 = -61 14x = -61 Divide each side by '14'. x = -4.357142857 Simplifying x = -4.357142857
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