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Simplifying (3x + 5) * 8 + 5(3x + 6) = 0 Reorder the terms: (5 + 3x) * 8 + 5(3x + 6) = 0 Reorder the terms for easier multiplication: 8(5 + 3x) + 5(3x + 6) = 0 (5 * 8 + 3x * 8) + 5(3x + 6) = 0 (40 + 24x) + 5(3x + 6) = 0 Reorder the terms: 40 + 24x + 5(6 + 3x) = 0 40 + 24x + (6 * 5 + 3x * 5) = 0 40 + 24x + (30 + 15x) = 0 Reorder the terms: 40 + 30 + 24x + 15x = 0 Combine like terms: 40 + 30 = 70 70 + 24x + 15x = 0 Combine like terms: 24x + 15x = 39x 70 + 39x = 0 Solving 70 + 39x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 39x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + 39x = 0 + -70 39x = 0 + -70 Combine like terms: 0 + -70 = -70 39x = -70 Divide each side by '39'. x = -1.794871795 Simplifying x = -1.794871795
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