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Simplifying 31 + 3x = 5 + -1(x + 5) Reorder the terms: 31 + 3x = 5 + -1(5 + x) 31 + 3x = 5 + (5 * -1 + x * -1) 31 + 3x = 5 + (-5 + -1x) Combine like terms: 5 + -5 = 0 31 + 3x = 0 + -1x 31 + 3x = -1x Solving 31 + 3x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 31 + 3x + x = -1x + x Combine like terms: 3x + x = 4x 31 + 4x = -1x + x Combine like terms: -1x + x = 0 31 + 4x = 0 Add '-31' to each side of the equation. 31 + -31 + 4x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 4x = 0 + -31 4x = 0 + -31 Combine like terms: 0 + -31 = -31 4x = -31 Divide each side by '4'. x = -7.75 Simplifying x = -7.75
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