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Simplifying -5x + 31 = 6(5 + -1x) + -6 Reorder the terms: 31 + -5x = 6(5 + -1x) + -6 31 + -5x = (5 * 6 + -1x * 6) + -6 31 + -5x = (30 + -6x) + -6 Reorder the terms: 31 + -5x = 30 + -6 + -6x Combine like terms: 30 + -6 = 24 31 + -5x = 24 + -6x Solving 31 + -5x = 24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 31 + -5x + 6x = 24 + -6x + 6x Combine like terms: -5x + 6x = 1x 31 + 1x = 24 + -6x + 6x Combine like terms: -6x + 6x = 0 31 + 1x = 24 + 0 31 + 1x = 24 Add '-31' to each side of the equation. 31 + -31 + 1x = 24 + -31 Combine like terms: 31 + -31 = 0 0 + 1x = 24 + -31 1x = 24 + -31 Combine like terms: 24 + -31 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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