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Simplifying 3(x + 3) + 2(2x + 6) = 0 Reorder the terms: 3(3 + x) + 2(2x + 6) = 0 (3 * 3 + x * 3) + 2(2x + 6) = 0 (9 + 3x) + 2(2x + 6) = 0 Reorder the terms: 9 + 3x + 2(6 + 2x) = 0 9 + 3x + (6 * 2 + 2x * 2) = 0 9 + 3x + (12 + 4x) = 0 Reorder the terms: 9 + 12 + 3x + 4x = 0 Combine like terms: 9 + 12 = 21 21 + 3x + 4x = 0 Combine like terms: 3x + 4x = 7x 21 + 7x = 0 Solving 21 + 7x = 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 + 7x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7x = 0 + -21 7x = 0 + -21 Combine like terms: 0 + -21 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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