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Simplifying 4(2x + 5) = -46 + 58 Reorder the terms: 4(5 + 2x) = -46 + 58 (5 * 4 + 2x * 4) = -46 + 58 (20 + 8x) = -46 + 58 Combine like terms: -46 + 58 = 12 20 + 8x = 12 Solving 20 + 8x = 12 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 = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 12 + -20 8x = 12 + -20 Combine like terms: 12 + -20 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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