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Simplifying -1x + 31 = x + 13 Reorder the terms: 31 + -1x = x + 13 Reorder the terms: 31 + -1x = 13 + x Solving 31 + -1x = 13 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 31 + -1x + -1x = 13 + x + -1x Combine like terms: -1x + -1x = -2x 31 + -2x = 13 + x + -1x Combine like terms: x + -1x = 0 31 + -2x = 13 + 0 31 + -2x = 13 Add '-31' to each side of the equation. 31 + -31 + -2x = 13 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 13 + -31 -2x = 13 + -31 Combine like terms: 13 + -31 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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