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Simplifying 31 = 3(x + 7) + -8x Reorder the terms: 31 = 3(7 + x) + -8x 31 = (7 * 3 + x * 3) + -8x 31 = (21 + 3x) + -8x Combine like terms: 3x + -8x = -5x 31 = 21 + -5x Solving 31 = 21 + -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 + 5x = 21 + -5x + 5x Combine like terms: -5x + 5x = 0 31 + 5x = 21 + 0 31 + 5x = 21 Add '-31' to each side of the equation. 31 + -31 + 5x = 21 + -31 Combine like terms: 31 + -31 = 0 0 + 5x = 21 + -31 5x = 21 + -31 Combine like terms: 21 + -31 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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