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Simplifying 3(4x + 6) + -9x = 0 Reorder the terms: 3(6 + 4x) + -9x = 0 (6 * 3 + 4x * 3) + -9x = 0 (18 + 12x) + -9x = 0 Combine like terms: 12x + -9x = 3x 18 + 3x = 0 Solving 18 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3x = 0 + -18 3x = 0 + -18 Combine like terms: 0 + -18 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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