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Simplifying 31 = 5(x + 8) + 4(6x + 5) Reorder the terms: 31 = 5(8 + x) + 4(6x + 5) 31 = (8 * 5 + x * 5) + 4(6x + 5) 31 = (40 + 5x) + 4(6x + 5) Reorder the terms: 31 = 40 + 5x + 4(5 + 6x) 31 = 40 + 5x + (5 * 4 + 6x * 4) 31 = 40 + 5x + (20 + 24x) Reorder the terms: 31 = 40 + 20 + 5x + 24x Combine like terms: 40 + 20 = 60 31 = 60 + 5x + 24x Combine like terms: 5x + 24x = 29x 31 = 60 + 29x Solving 31 = 60 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 31 + -29x = 60 + 29x + -29x Combine like terms: 29x + -29x = 0 31 + -29x = 60 + 0 31 + -29x = 60 Add '-31' to each side of the equation. 31 + -31 + -29x = 60 + -31 Combine like terms: 31 + -31 = 0 0 + -29x = 60 + -31 -29x = 60 + -31 Combine like terms: 60 + -31 = 29 -29x = 29 Divide each side by '-29'. x = -1 Simplifying x = -1
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