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Simplifying 31 = -7x + 5(x + 5) Reorder the terms: 31 = -7x + 5(5 + x) 31 = -7x + (5 * 5 + x * 5) 31 = -7x + (25 + 5x) Reorder the terms: 31 = 25 + -7x + 5x Combine like terms: -7x + 5x = -2x 31 = 25 + -2x Solving 31 = 25 + -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 = 25 + -2x + 2x Combine like terms: -2x + 2x = 0 31 + 2x = 25 + 0 31 + 2x = 25 Add '-31' to each side of the equation. 31 + -31 + 2x = 25 + -31 Combine like terms: 31 + -31 = 0 0 + 2x = 25 + -31 2x = 25 + -31 Combine like terms: 25 + -31 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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