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Simplifying 5x + 2 = 3x + 2y Reorder the terms: 2 + 5x = 3x + 2y Solving 2 + 5x = 3x + 2y 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. 2 + 5x + -3x = 3x + -3x + 2y Combine like terms: 5x + -3x = 2x 2 + 2x = 3x + -3x + 2y Combine like terms: 3x + -3x = 0 2 + 2x = 0 + 2y 2 + 2x = 2y Add '-2' to each side of the equation. 2 + -2 + 2x = -2 + 2y Combine like terms: 2 + -2 = 0 0 + 2x = -2 + 2y 2x = -2 + 2y Divide each side by '2'. x = -1 + y Simplifying x = -1 + y
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