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Simplifying 3(4x + 6) = -45 + 51 Reorder the terms: 3(6 + 4x) = -45 + 51 (6 * 3 + 4x * 3) = -45 + 51 (18 + 12x) = -45 + 51 Combine like terms: -45 + 51 = 6 18 + 12x = 6 Solving 18 + 12x = 6 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 = 6 + -18 Combine like terms: 18 + -18 = 0 0 + 12x = 6 + -18 12x = 6 + -18 Combine like terms: 6 + -18 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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