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Simplifying 5(4x + 8) = -22 + 42 Reorder the terms: 5(8 + 4x) = -22 + 42 (8 * 5 + 4x * 5) = -22 + 42 (40 + 20x) = -22 + 42 Combine like terms: -22 + 42 = 20 40 + 20x = 20 Solving 40 + 20x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 20x = 20 + -40 Combine like terms: 40 + -40 = 0 0 + 20x = 20 + -40 20x = 20 + -40 Combine like terms: 20 + -40 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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