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Simplifying 5x + 31 = -4(x + -1) Reorder the terms: 31 + 5x = -4(x + -1) Reorder the terms: 31 + 5x = -4(-1 + x) 31 + 5x = (-1 * -4 + x * -4) 31 + 5x = (4 + -4x) Solving 31 + 5x = 4 + -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 + 5x + 4x = 4 + -4x + 4x Combine like terms: 5x + 4x = 9x 31 + 9x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 31 + 9x = 4 + 0 31 + 9x = 4 Add '-31' to each side of the equation. 31 + -31 + 9x = 4 + -31 Combine like terms: 31 + -31 = 0 0 + 9x = 4 + -31 9x = 4 + -31 Combine like terms: 4 + -31 = -27 9x = -27 Divide each side by '9'. x = -3 Simplifying x = -3
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