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Simplifying 13x + 31 = 22x + 22 Reorder the terms: 31 + 13x = 22x + 22 Reorder the terms: 31 + 13x = 22 + 22x Solving 31 + 13x = 22 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 31 + 13x + -22x = 22 + 22x + -22x Combine like terms: 13x + -22x = -9x 31 + -9x = 22 + 22x + -22x Combine like terms: 22x + -22x = 0 31 + -9x = 22 + 0 31 + -9x = 22 Add '-31' to each side of the equation. 31 + -31 + -9x = 22 + -31 Combine like terms: 31 + -31 = 0 0 + -9x = 22 + -31 -9x = 22 + -31 Combine like terms: 22 + -31 = -9 -9x = -9 Divide each side by '-9'. x = 1 Simplifying x = 1
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