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Simplifying 12x + 11 = 2x + 31 Reorder the terms: 11 + 12x = 2x + 31 Reorder the terms: 11 + 12x = 31 + 2x Solving 11 + 12x = 31 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 11 + 12x + -2x = 31 + 2x + -2x Combine like terms: 12x + -2x = 10x 11 + 10x = 31 + 2x + -2x Combine like terms: 2x + -2x = 0 11 + 10x = 31 + 0 11 + 10x = 31 Add '-11' to each side of the equation. 11 + -11 + 10x = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 10x = 31 + -11 10x = 31 + -11 Combine like terms: 31 + -11 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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