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Simplifying 4(3x + 5) = -38 + 46 Reorder the terms: 4(5 + 3x) = -38 + 46 (5 * 4 + 3x * 4) = -38 + 46 (20 + 12x) = -38 + 46 Combine like terms: -38 + 46 = 8 20 + 12x = 8 Solving 20 + 12x = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 12x = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 8 + -20 12x = 8 + -20 Combine like terms: 8 + -20 = -12 12x = -12 Divide each side by '12'. x = -1 Simplifying x = -1
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