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Simplifying 5(4x + 6) = -38 + 48 Reorder the terms: 5(6 + 4x) = -38 + 48 (6 * 5 + 4x * 5) = -38 + 48 (30 + 20x) = -38 + 48 Combine like terms: -38 + 48 = 10 30 + 20x = 10 Solving 30 + 20x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 20x = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 20x = 10 + -30 20x = 10 + -30 Combine like terms: 10 + -30 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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