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Simplifying 4(X + 5) + 3 = 5(3 + -1X) + -19 Reorder the terms: 4(5 + X) + 3 = 5(3 + -1X) + -19 (5 * 4 + X * 4) + 3 = 5(3 + -1X) + -19 (20 + 4X) + 3 = 5(3 + -1X) + -19 Reorder the terms: 20 + 3 + 4X = 5(3 + -1X) + -19 Combine like terms: 20 + 3 = 23 23 + 4X = 5(3 + -1X) + -19 23 + 4X = (3 * 5 + -1X * 5) + -19 23 + 4X = (15 + -5X) + -19 Reorder the terms: 23 + 4X = 15 + -19 + -5X Combine like terms: 15 + -19 = -4 23 + 4X = -4 + -5X Solving 23 + 4X = -4 + -5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5X' to each side of the equation. 23 + 4X + 5X = -4 + -5X + 5X Combine like terms: 4X + 5X = 9X 23 + 9X = -4 + -5X + 5X Combine like terms: -5X + 5X = 0 23 + 9X = -4 + 0 23 + 9X = -4 Add '-23' to each side of the equation. 23 + -23 + 9X = -4 + -23 Combine like terms: 23 + -23 = 0 0 + 9X = -4 + -23 9X = -4 + -23 Combine like terms: -4 + -23 = -27 9X = -27 Divide each side by '9'. X = -3 Simplifying X = -3
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