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Simplifying 4(2x + 5) = -38 + 42 Reorder the terms: 4(5 + 2x) = -38 + 42 (5 * 4 + 2x * 4) = -38 + 42 (20 + 8x) = -38 + 42 Combine like terms: -38 + 42 = 4 20 + 8x = 4 Solving 20 + 8x = 4 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 + 8x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 4 + -20 8x = 4 + -20 Combine like terms: 4 + -20 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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