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Simplifying 2(x + 3) + 3(x + 5) = 0 Reorder the terms: 2(3 + x) + 3(x + 5) = 0 (3 * 2 + x * 2) + 3(x + 5) = 0 (6 + 2x) + 3(x + 5) = 0 Reorder the terms: 6 + 2x + 3(5 + x) = 0 6 + 2x + (5 * 3 + x * 3) = 0 6 + 2x + (15 + 3x) = 0 Reorder the terms: 6 + 15 + 2x + 3x = 0 Combine like terms: 6 + 15 = 21 21 + 2x + 3x = 0 Combine like terms: 2x + 3x = 5x 21 + 5x = 0 Solving 21 + 5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 0 + -21 5x = 0 + -21 Combine like terms: 0 + -21 = -21 5x = -21 Divide each side by '5'. x = -4.2 Simplifying x = -4.2
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