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Simplifying 5(4x + 5) + 8 = x + -24 Reorder the terms: 5(5 + 4x) + 8 = x + -24 (5 * 5 + 4x * 5) + 8 = x + -24 (25 + 20x) + 8 = x + -24 Reorder the terms: 25 + 8 + 20x = x + -24 Combine like terms: 25 + 8 = 33 33 + 20x = x + -24 Reorder the terms: 33 + 20x = -24 + x Solving 33 + 20x = -24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 33 + 20x + -1x = -24 + x + -1x Combine like terms: 20x + -1x = 19x 33 + 19x = -24 + x + -1x Combine like terms: x + -1x = 0 33 + 19x = -24 + 0 33 + 19x = -24 Add '-33' to each side of the equation. 33 + -33 + 19x = -24 + -33 Combine like terms: 33 + -33 = 0 0 + 19x = -24 + -33 19x = -24 + -33 Combine like terms: -24 + -33 = -57 19x = -57 Divide each side by '19'. x = -3 Simplifying x = -3
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