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Simplifying 9(x + 3) + 3(2x + 1) = 0 Reorder the terms: 9(3 + x) + 3(2x + 1) = 0 (3 * 9 + x * 9) + 3(2x + 1) = 0 (27 + 9x) + 3(2x + 1) = 0 Reorder the terms: 27 + 9x + 3(1 + 2x) = 0 27 + 9x + (1 * 3 + 2x * 3) = 0 27 + 9x + (3 + 6x) = 0 Reorder the terms: 27 + 3 + 9x + 6x = 0 Combine like terms: 27 + 3 = 30 30 + 9x + 6x = 0 Combine like terms: 9x + 6x = 15x 30 + 15x = 0 Solving 30 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 15x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 15x = 0 + -30 15x = 0 + -30 Combine like terms: 0 + -30 = -30 15x = -30 Divide each side by '15'. x = -2 Simplifying x = -2
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