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Simplifying 12x + 31 = 6x + -35 Reorder the terms: 31 + 12x = 6x + -35 Reorder the terms: 31 + 12x = -35 + 6x Solving 31 + 12x = -35 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 31 + 12x + -6x = -35 + 6x + -6x Combine like terms: 12x + -6x = 6x 31 + 6x = -35 + 6x + -6x Combine like terms: 6x + -6x = 0 31 + 6x = -35 + 0 31 + 6x = -35 Add '-31' to each side of the equation. 31 + -31 + 6x = -35 + -31 Combine like terms: 31 + -31 = 0 0 + 6x = -35 + -31 6x = -35 + -31 Combine like terms: -35 + -31 = -66 6x = -66 Divide each side by '6'. x = -11 Simplifying x = -11
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