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Simplifying 9x + 31 = -4(x + 2) Reorder the terms: 31 + 9x = -4(x + 2) Reorder the terms: 31 + 9x = -4(2 + x) 31 + 9x = (2 * -4 + x * -4) 31 + 9x = (-8 + -4x) Solving 31 + 9x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 31 + 9x + 4x = -8 + -4x + 4x Combine like terms: 9x + 4x = 13x 31 + 13x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 31 + 13x = -8 + 0 31 + 13x = -8 Add '-31' to each side of the equation. 31 + -31 + 13x = -8 + -31 Combine like terms: 31 + -31 = 0 0 + 13x = -8 + -31 13x = -8 + -31 Combine like terms: -8 + -31 = -39 13x = -39 Divide each side by '13'. x = -3 Simplifying x = -3
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