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Simplifying x + 31 = 3x + 1 + -1x Reorder the terms: 31 + x = 3x + 1 + -1x Reorder the terms: 31 + x = 1 + 3x + -1x Combine like terms: 3x + -1x = 2x 31 + x = 1 + 2x Solving 31 + x = 1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 31 + x + -2x = 1 + 2x + -2x Combine like terms: x + -2x = -1x 31 + -1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + -1x = 1 + 0 31 + -1x = 1 Add '-31' to each side of the equation. 31 + -31 + -1x = 1 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = 1 + -31 -1x = 1 + -31 Combine like terms: 1 + -31 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30
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