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Simplifying 5(4x + 3) + -2(7x + -6) = 0 Reorder the terms: 5(3 + 4x) + -2(7x + -6) = 0 (3 * 5 + 4x * 5) + -2(7x + -6) = 0 (15 + 20x) + -2(7x + -6) = 0 Reorder the terms: 15 + 20x + -2(-6 + 7x) = 0 15 + 20x + (-6 * -2 + 7x * -2) = 0 15 + 20x + (12 + -14x) = 0 Reorder the terms: 15 + 12 + 20x + -14x = 0 Combine like terms: 15 + 12 = 27 27 + 20x + -14x = 0 Combine like terms: 20x + -14x = 6x 27 + 6x = 0 Solving 27 + 6x = 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 + 6x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 0 + -27 6x = 0 + -27 Combine like terms: 0 + -27 = -27 6x = -27 Divide each side by '6'. x = -4.5 Simplifying x = -4.5
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