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Simplifying 3x + -6x + 31 = 5x + 39 Reorder the terms: 31 + 3x + -6x = 5x + 39 Combine like terms: 3x + -6x = -3x 31 + -3x = 5x + 39 Reorder the terms: 31 + -3x = 39 + 5x Solving 31 + -3x = 39 + 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 = 39 + 5x + -5x Combine like terms: -3x + -5x = -8x 31 + -8x = 39 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + -8x = 39 + 0 31 + -8x = 39 Add '-31' to each side of the equation. 31 + -31 + -8x = 39 + -31 Combine like terms: 31 + -31 = 0 0 + -8x = 39 + -31 -8x = 39 + -31 Combine like terms: 39 + -31 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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