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Simplifying 31 = -2x + 7 + 10x Reorder the terms: 31 = 7 + -2x + 10x Combine like terms: -2x + 10x = 8x 31 = 7 + 8x Solving 31 = 7 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 31 + -8x = 7 + 8x + -8x Combine like terms: 8x + -8x = 0 31 + -8x = 7 + 0 31 + -8x = 7 Add '-31' to each side of the equation. 31 + -31 + -8x = 7 + -31 Combine like terms: 31 + -31 = 0 0 + -8x = 7 + -31 -8x = 7 + -31 Combine like terms: 7 + -31 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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