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Simplifying 4(2x + 3) + 3(x + 5) = 0 Reorder the terms: 4(3 + 2x) + 3(x + 5) = 0 (3 * 4 + 2x * 4) + 3(x + 5) = 0 (12 + 8x) + 3(x + 5) = 0 Reorder the terms: 12 + 8x + 3(5 + x) = 0 12 + 8x + (5 * 3 + x * 3) = 0 12 + 8x + (15 + 3x) = 0 Reorder the terms: 12 + 15 + 8x + 3x = 0 Combine like terms: 12 + 15 = 27 27 + 8x + 3x = 0 Combine like terms: 8x + 3x = 11x 27 + 11x = 0 Solving 27 + 11x = 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 + 11x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 11x = 0 + -27 11x = 0 + -27 Combine like terms: 0 + -27 = -27 11x = -27 Divide each side by '11'. x = -2.454545455 Simplifying x = -2.454545455
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