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Simplifying -2x + 31 = 3x + 61 Reorder the terms: 31 + -2x = 3x + 61 Reorder the terms: 31 + -2x = 61 + 3x Solving 31 + -2x = 61 + 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 + -2x + -3x = 61 + 3x + -3x Combine like terms: -2x + -3x = -5x 31 + -5x = 61 + 3x + -3x Combine like terms: 3x + -3x = 0 31 + -5x = 61 + 0 31 + -5x = 61 Add '-31' to each side of the equation. 31 + -31 + -5x = 61 + -31 Combine like terms: 31 + -31 = 0 0 + -5x = 61 + -31 -5x = 61 + -31 Combine like terms: 61 + -31 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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