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Simplifying 5x + 22 = 3x + 5z Reorder the terms: 22 + 5x = 3x + 5z Solving 22 + 5x = 3x + 5z 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 = 3x + -3x + 5z Combine like terms: 5x + -3x = 2x 22 + 2x = 3x + -3x + 5z Combine like terms: 3x + -3x = 0 22 + 2x = 0 + 5z 22 + 2x = 5z Add '-22' to each side of the equation. 22 + -22 + 2x = -22 + 5z Combine like terms: 22 + -22 = 0 0 + 2x = -22 + 5z 2x = -22 + 5z Divide each side by '2'. x = -11 + 2.5z Simplifying x = -11 + 2.5z
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