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Simplifying 3(4x + 9) = -38 + 41 Reorder the terms: 3(9 + 4x) = -38 + 41 (9 * 3 + 4x * 3) = -38 + 41 (27 + 12x) = -38 + 41 Combine like terms: -38 + 41 = 3 27 + 12x = 3 Solving 27 + 12x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 12x = 3 + -27 Combine like terms: 27 + -27 = 0 0 + 12x = 3 + -27 12x = 3 + -27 Combine like terms: 3 + -27 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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