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Simplifying 31 = 3x + 7 + -1x Reorder the terms: 31 = 7 + 3x + -1x Combine like terms: 3x + -1x = 2x 31 = 7 + 2x Solving 31 = 7 + 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 + -2x = 7 + 2x + -2x Combine like terms: 2x + -2x = 0 31 + -2x = 7 + 0 31 + -2x = 7 Add '-31' to each side of the equation. 31 + -31 + -2x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 7 + -31 -2x = 7 + -31 Combine like terms: 7 + -31 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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