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Simplifying 5(x + 5) + 8(3x + 8) = 2 Reorder the terms: 5(5 + x) + 8(3x + 8) = 2 (5 * 5 + x * 5) + 8(3x + 8) = 2 (25 + 5x) + 8(3x + 8) = 2 Reorder the terms: 25 + 5x + 8(8 + 3x) = 2 25 + 5x + (8 * 8 + 3x * 8) = 2 25 + 5x + (64 + 24x) = 2 Reorder the terms: 25 + 64 + 5x + 24x = 2 Combine like terms: 25 + 64 = 89 89 + 5x + 24x = 2 Combine like terms: 5x + 24x = 29x 89 + 29x = 2 Solving 89 + 29x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-89' to each side of the equation. 89 + -89 + 29x = 2 + -89 Combine like terms: 89 + -89 = 0 0 + 29x = 2 + -89 29x = 2 + -89 Combine like terms: 2 + -89 = -87 29x = -87 Divide each side by '29'. x = -3 Simplifying x = -3
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