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Simplifying 2x + y = x + 5y Solving 2x + y = x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 2x + -1x + y = x + -1x + 5y Combine like terms: 2x + -1x = 1x 1x + y = x + -1x + 5y Combine like terms: x + -1x = 0 1x + y = 0 + 5y 1x + y = 5y Add '-1y' to each side of the equation. 1x + y + -1y = 5y + -1y Combine like terms: y + -1y = 0 1x + 0 = 5y + -1y 1x = 5y + -1y Combine like terms: 5y + -1y = 4y 1x = 4y Divide each side by '1'. x = 4y Simplifying x = 4y
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