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Simplifying -4x + 31 = -1(x + 6) Reorder the terms: 31 + -4x = -1(x + 6) Reorder the terms: 31 + -4x = -1(6 + x) 31 + -4x = (6 * -1 + x * -1) 31 + -4x = (-6 + -1x) Solving 31 + -4x = -6 + -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 + -4x + x = -6 + -1x + x Combine like terms: -4x + x = -3x 31 + -3x = -6 + -1x + x Combine like terms: -1x + x = 0 31 + -3x = -6 + 0 31 + -3x = -6 Add '-31' to each side of the equation. 31 + -31 + -3x = -6 + -31 Combine like terms: 31 + -31 = 0 0 + -3x = -6 + -31 -3x = -6 + -31 Combine like terms: -6 + -31 = -37 -3x = -37 Divide each side by '-3'. x = 12.33333333 Simplifying x = 12.33333333
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