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Simplifying 3x + 31 = 12x + -41 Reorder the terms: 31 + 3x = 12x + -41 Reorder the terms: 31 + 3x = -41 + 12x Solving 31 + 3x = -41 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 31 + 3x + -12x = -41 + 12x + -12x Combine like terms: 3x + -12x = -9x 31 + -9x = -41 + 12x + -12x Combine like terms: 12x + -12x = 0 31 + -9x = -41 + 0 31 + -9x = -41 Add '-31' to each side of the equation. 31 + -31 + -9x = -41 + -31 Combine like terms: 31 + -31 = 0 0 + -9x = -41 + -31 -9x = -41 + -31 Combine like terms: -41 + -31 = -72 -9x = -72 Divide each side by '-9'. x = 8 Simplifying x = 8
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