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Simplifying -22 + 15x = 13x + 38 Reorder the terms: -22 + 15x = 38 + 13x Solving -22 + 15x = 38 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -22 + 15x + -13x = 38 + 13x + -13x Combine like terms: 15x + -13x = 2x -22 + 2x = 38 + 13x + -13x Combine like terms: 13x + -13x = 0 -22 + 2x = 38 + 0 -22 + 2x = 38 Add '22' to each side of the equation. -22 + 22 + 2x = 38 + 22 Combine like terms: -22 + 22 = 0 0 + 2x = 38 + 22 2x = 38 + 22 Combine like terms: 38 + 22 = 60 2x = 60 Divide each side by '2'. x = 30 Simplifying x = 30
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