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Simplifying 6x + 22 = 3x + 31 Reorder the terms: 22 + 6x = 3x + 31 Reorder the terms: 22 + 6x = 31 + 3x Solving 22 + 6x = 31 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 22 + 6x + -3x = 31 + 3x + -3x Combine like terms: 6x + -3x = 3x 22 + 3x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + 3x = 31 + 0 22 + 3x = 31 Add '-22' to each side of the equation. 22 + -22 + 3x = 31 + -22 Combine like terms: 22 + -22 = 0 0 + 3x = 31 + -22 3x = 31 + -22 Combine like terms: 31 + -22 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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