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Simplifying 3(4x + 6) = -78 Reorder the terms: 3(6 + 4x) = -78 (6 * 3 + 4x * 3) = -78 (18 + 12x) = -78 Solving 18 + 12x = -78 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 + 12x = -78 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = -78 + -18 12x = -78 + -18 Combine like terms: -78 + -18 = -96 12x = -96 Divide each side by '12'. x = -8 Simplifying x = -8
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