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Simplifying 31 + 3x = -5(x + -1) Reorder the terms: 31 + 3x = -5(-1 + x) 31 + 3x = (-1 * -5 + x * -5) 31 + 3x = (5 + -5x) Solving 31 + 3x = 5 + -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. 31 + 3x + 5x = 5 + -5x + 5x Combine like terms: 3x + 5x = 8x 31 + 8x = 5 + -5x + 5x Combine like terms: -5x + 5x = 0 31 + 8x = 5 + 0 31 + 8x = 5 Add '-31' to each side of the equation. 31 + -31 + 8x = 5 + -31 Combine like terms: 31 + -31 = 0 0 + 8x = 5 + -31 8x = 5 + -31 Combine like terms: 5 + -31 = -26 8x = -26 Divide each side by '8'. x = -3.25 Simplifying x = -3.25
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