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Simplifying 3y + 5x = 2x + 6y Reorder the terms: 5x + 3y = 2x + 6y Solving 5x + 3y = 2x + 6y 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 + 6y Combine like terms: 5x + -2x = 3x 3x + 3y = 2x + -2x + 6y Combine like terms: 2x + -2x = 0 3x + 3y = 0 + 6y 3x + 3y = 6y Add '-3y' to each side of the equation. 3x + 3y + -3y = 6y + -3y Combine like terms: 3y + -3y = 0 3x + 0 = 6y + -3y 3x = 6y + -3y Combine like terms: 6y + -3y = 3y 3x = 3y Divide each side by '3'. x = y Simplifying x = y
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