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Simplifying 3x + 4y = 5y + 6x Reorder the terms: 3x + 4y = 6x + 5y Solving 3x + 4y = 6x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3x + -6x + 4y = 6x + -6x + 5y Combine like terms: 3x + -6x = -3x -3x + 4y = 6x + -6x + 5y Combine like terms: 6x + -6x = 0 -3x + 4y = 0 + 5y -3x + 4y = 5y Add '-4y' to each side of the equation. -3x + 4y + -4y = 5y + -4y Combine like terms: 4y + -4y = 0 -3x + 0 = 5y + -4y -3x = 5y + -4y Combine like terms: 5y + -4y = 1y -3x = 1y Divide each side by '-3'. x = -0.3333333333y Simplifying x = -0.3333333333y
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