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Simplifying 3(5x + 1) + 5(x + 6) = 0 Reorder the terms: 3(1 + 5x) + 5(x + 6) = 0 (1 * 3 + 5x * 3) + 5(x + 6) = 0 (3 + 15x) + 5(x + 6) = 0 Reorder the terms: 3 + 15x + 5(6 + x) = 0 3 + 15x + (6 * 5 + x * 5) = 0 3 + 15x + (30 + 5x) = 0 Reorder the terms: 3 + 30 + 15x + 5x = 0 Combine like terms: 3 + 30 = 33 33 + 15x + 5x = 0 Combine like terms: 15x + 5x = 20x 33 + 20x = 0 Solving 33 + 20x = 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 + 20x = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 20x = 0 + -33 20x = 0 + -33 Combine like terms: 0 + -33 = -33 20x = -33 Divide each side by '20'. x = -1.65 Simplifying x = -1.65
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