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Simplifying 31 + -9x = 10 + 12x Solving 31 + -9x = 10 + 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 + -9x + -12x = 10 + 12x + -12x Combine like terms: -9x + -12x = -21x 31 + -21x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 31 + -21x = 10 + 0 31 + -21x = 10 Add '-31' to each side of the equation. 31 + -31 + -21x = 10 + -31 Combine like terms: 31 + -31 = 0 0 + -21x = 10 + -31 -21x = 10 + -31 Combine like terms: 10 + -31 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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