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Simplifying 5x + y = 3x + 5y Solving 5x + y = 3x + 5y 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. 5x + -3x + y = 3x + -3x + 5y Combine like terms: 5x + -3x = 2x 2x + y = 3x + -3x + 5y Combine like terms: 3x + -3x = 0 2x + y = 0 + 5y 2x + y = 5y Add '-1y' to each side of the equation. 2x + y + -1y = 5y + -1y Combine like terms: y + -1y = 0 2x + 0 = 5y + -1y 2x = 5y + -1y Combine like terms: 5y + -1y = 4y 2x = 4y Divide each side by '2'. x = 2y Simplifying x = 2y
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