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Simplifying 31 = -4x + 7(x + 7) Reorder the terms: 31 = -4x + 7(7 + x) 31 = -4x + (7 * 7 + x * 7) 31 = -4x + (49 + 7x) Reorder the terms: 31 = 49 + -4x + 7x Combine like terms: -4x + 7x = 3x 31 = 49 + 3x Solving 31 = 49 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 31 + -3x = 49 + 3x + -3x Combine like terms: 3x + -3x = 0 31 + -3x = 49 + 0 31 + -3x = 49 Add '-31' to each side of the equation. 31 + -31 + -3x = 49 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = 49 + -31 -3x = 49 + -31 Combine like terms: 49 + -31 = 18 -3x = 18 Divide each side by '-3'. x = -6 Simplifying x = -6
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