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Simplifying 31 = 4(x + -5) + 12 Reorder the terms: 31 = 4(-5 + x) + 12 31 = (-5 * 4 + x * 4) + 12 31 = (-20 + 4x) + 12 Reorder the terms: 31 = -20 + 12 + 4x Combine like terms: -20 + 12 = -8 31 = -8 + 4x Solving 31 = -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 = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 31 + -4x = -8 + 0 31 + -4x = -8 Add '-31' to each side of the equation. 31 + -31 + -4x = -8 + -31 Combine like terms: 31 + -31 = 0 0 + -4x = -8 + -31 -4x = -8 + -31 Combine like terms: -8 + -31 = -39 -4x = -39 Divide each side by '-4'. x = 9.75 Simplifying x = 9.75
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