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Simplifying 4(2x + 6) + 3(3 + 5x) = 0 Reorder the terms: 4(6 + 2x) + 3(3 + 5x) = 0 (6 * 4 + 2x * 4) + 3(3 + 5x) = 0 (24 + 8x) + 3(3 + 5x) = 0 24 + 8x + (3 * 3 + 5x * 3) = 0 24 + 8x + (9 + 15x) = 0 Reorder the terms: 24 + 9 + 8x + 15x = 0 Combine like terms: 24 + 9 = 33 33 + 8x + 15x = 0 Combine like terms: 8x + 15x = 23x 33 + 23x = 0 Solving 33 + 23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 23x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 23x = 0 + -33 23x = 0 + -33 Combine like terms: 0 + -33 = -33 23x = -33 Divide each side by '23'. x = -1.434782609 Simplifying x = -1.434782609
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