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Simplifying 5x + y = 2x + 4y Solving 5x + y = 2x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5x + -2x + y = 2x + -2x + 4y Combine like terms: 5x + -2x = 3x 3x + y = 2x + -2x + 4y Combine like terms: 2x + -2x = 0 3x + y = 0 + 4y 3x + y = 4y Add '-1y' to each side of the equation. 3x + y + -1y = 4y + -1y Combine like terms: y + -1y = 0 3x + 0 = 4y + -1y 3x = 4y + -1y Combine like terms: 4y + -1y = 3y 3x = 3y Divide each side by '3'. x = y Simplifying x = y
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