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Simplifying 6x + 9 = 31 + -5x Reorder the terms: 9 + 6x = 31 + -5x Solving 9 + 6x = 31 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 9 + 6x + 5x = 31 + -5x + 5x Combine like terms: 6x + 5x = 11x 9 + 11x = 31 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 11x = 31 + 0 9 + 11x = 31 Add '-9' to each side of the equation. 9 + -9 + 11x = 31 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 31 + -9 11x = 31 + -9 Combine like terms: 31 + -9 = 22 11x = 22 Divide each side by '11'. x = 2 Simplifying x = 2
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