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Simplifying 4(3x + 6) = -34 + 46 Reorder the terms: 4(6 + 3x) = -34 + 46 (6 * 4 + 3x * 4) = -34 + 46 (24 + 12x) = -34 + 46 Combine like terms: -34 + 46 = 12 24 + 12x = 12 Solving 24 + 12x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 12x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 12x = 12 + -24 12x = 12 + -24 Combine like terms: 12 + -24 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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