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Simplifying 3(3x + 4) + 6(x + -1) = 0 Reorder the terms: 3(4 + 3x) + 6(x + -1) = 0 (4 * 3 + 3x * 3) + 6(x + -1) = 0 (12 + 9x) + 6(x + -1) = 0 Reorder the terms: 12 + 9x + 6(-1 + x) = 0 12 + 9x + (-1 * 6 + x * 6) = 0 12 + 9x + (-6 + 6x) = 0 Reorder the terms: 12 + -6 + 9x + 6x = 0 Combine like terms: 12 + -6 = 6 6 + 9x + 6x = 0 Combine like terms: 9x + 6x = 15x 6 + 15x = 0 Solving 6 + 15x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 15x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 15x = 0 + -6 15x = 0 + -6 Combine like terms: 0 + -6 = -6 15x = -6 Divide each side by '15'. x = -0.4 Simplifying x = -0.4
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