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Simplifying 31 + -4x = -1(-4x + 8) Reorder the terms: 31 + -4x = -1(8 + -4x) 31 + -4x = (8 * -1 + -4x * -1) 31 + -4x = (-8 + 4x) Solving 31 + -4x = -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 + -4x + -4x = -8 + 4x + -4x Combine like terms: -4x + -4x = -8x 31 + -8x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + -8x = -8 + 0 31 + -8x = -8 Add '-31' to each side of the equation. 31 + -31 + -8x = -8 + -31 Combine like terms: 31 + -31 = 0 0 + -8x = -8 + -31 -8x = -8 + -31 Combine like terms: -8 + -31 = -39 -8x = -39 Divide each side by '-8'. x = 4.875 Simplifying x = 4.875
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