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Simplifying 3(x + 4) + 2(x + 5) = 0 Reorder the terms: 3(4 + x) + 2(x + 5) = 0 (4 * 3 + x * 3) + 2(x + 5) = 0 (12 + 3x) + 2(x + 5) = 0 Reorder the terms: 12 + 3x + 2(5 + x) = 0 12 + 3x + (5 * 2 + x * 2) = 0 12 + 3x + (10 + 2x) = 0 Reorder the terms: 12 + 10 + 3x + 2x = 0 Combine like terms: 12 + 10 = 22 22 + 3x + 2x = 0 Combine like terms: 3x + 2x = 5x 22 + 5x = 0 Solving 22 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 5x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 5x = 0 + -22 5x = 0 + -22 Combine like terms: 0 + -22 = -22 5x = -22 Divide each side by '5'. x = -4.4 Simplifying x = -4.4
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