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Simplifying -5x + 31 = 3x + -1 Reorder the terms: 31 + -5x = 3x + -1 Reorder the terms: 31 + -5x = -1 + 3x Solving 31 + -5x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 31 + -5x + -3x = -1 + 3x + -3x Combine like terms: -5x + -3x = -8x 31 + -8x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 31 + -8x = -1 + 0 31 + -8x = -1 Add '-31' to each side of the equation. 31 + -31 + -8x = -1 + -31 Combine like terms: 31 + -31 = 0 0 + -8x = -1 + -31 -8x = -1 + -31 Combine like terms: -1 + -31 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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