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Simplifying 5x + 22 = 3x + 42 Reorder the terms: 22 + 5x = 3x + 42 Reorder the terms: 22 + 5x = 42 + 3x Solving 22 + 5x = 42 + 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 + 5x + -3x = 42 + 3x + -3x Combine like terms: 5x + -3x = 2x 22 + 2x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 22 + 2x = 42 + 0 22 + 2x = 42 Add '-22' to each side of the equation. 22 + -22 + 2x = 42 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = 42 + -22 2x = 42 + -22 Combine like terms: 42 + -22 = 20 2x = 20 Divide each side by '2'. x = 10 Simplifying x = 10
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