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Simplifying 5x + 3y = 5y + 2x Reorder the terms: 5x + 3y = 2x + 5y Solving 5x + 3y = 2x + 5y 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 + 3y = 2x + -2x + 5y Combine like terms: 5x + -2x = 3x 3x + 3y = 2x + -2x + 5y Combine like terms: 2x + -2x = 0 3x + 3y = 0 + 5y 3x + 3y = 5y Add '-3y' to each side of the equation. 3x + 3y + -3y = 5y + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 5y + -3y 3x = 5y + -3y Combine like terms: 5y + -3y = 2y 3x = 2y Divide each side by '3'. x = 0.6666666667y Simplifying x = 0.6666666667y
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