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Simplifying 2x + 31 + -1x = 8 + 5x + -5 Reorder the terms: 31 + 2x + -1x = 8 + 5x + -5 Combine like terms: 2x + -1x = 1x 31 + 1x = 8 + 5x + -5 Reorder the terms: 31 + 1x = 8 + -5 + 5x Combine like terms: 8 + -5 = 3 31 + 1x = 3 + 5x Solving 31 + 1x = 3 + 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 + 1x + -5x = 3 + 5x + -5x Combine like terms: 1x + -5x = -4x 31 + -4x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 31 + -4x = 3 + 0 31 + -4x = 3 Add '-31' to each side of the equation. 31 + -31 + -4x = 3 + -31 Combine like terms: 31 + -31 = 0 0 + -4x = 3 + -31 -4x = 3 + -31 Combine like terms: 3 + -31 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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