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Simplifying (3x + 5) * 2 + 6(3x + 5) + 5 = 0 Reorder the terms: (5 + 3x) * 2 + 6(3x + 5) + 5 = 0 Reorder the terms for easier multiplication: 2(5 + 3x) + 6(3x + 5) + 5 = 0 (5 * 2 + 3x * 2) + 6(3x + 5) + 5 = 0 (10 + 6x) + 6(3x + 5) + 5 = 0 Reorder the terms: 10 + 6x + 6(5 + 3x) + 5 = 0 10 + 6x + (5 * 6 + 3x * 6) + 5 = 0 10 + 6x + (30 + 18x) + 5 = 0 Reorder the terms: 10 + 30 + 5 + 6x + 18x = 0 Combine like terms: 10 + 30 = 40 40 + 5 + 6x + 18x = 0 Combine like terms: 40 + 5 = 45 45 + 6x + 18x = 0 Combine like terms: 6x + 18x = 24x 45 + 24x = 0 Solving 45 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 24x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 24x = 0 + -45 24x = 0 + -45 Combine like terms: 0 + -45 = -45 24x = -45 Divide each side by '24'. x = -1.875 Simplifying x = -1.875
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