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Simplifying 3(x + 2) + 5(x + 6) = 0 Reorder the terms: 3(2 + x) + 5(x + 6) = 0 (2 * 3 + x * 3) + 5(x + 6) = 0 (6 + 3x) + 5(x + 6) = 0 Reorder the terms: 6 + 3x + 5(6 + x) = 0 6 + 3x + (6 * 5 + x * 5) = 0 6 + 3x + (30 + 5x) = 0 Reorder the terms: 6 + 30 + 3x + 5x = 0 Combine like terms: 6 + 30 = 36 36 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x 36 + 8x = 0 Solving 36 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 8x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 8x = 0 + -36 8x = 0 + -36 Combine like terms: 0 + -36 = -36 8x = -36 Divide each side by '8'. x = -4.5 Simplifying x = -4.5
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