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Simplifying 2x + 4y = 6x + 5y Solving 2x + 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. 2x + -6x + 4y = 6x + -6x + 5y Combine like terms: 2x + -6x = -4x -4x + 4y = 6x + -6x + 5y Combine like terms: 6x + -6x = 0 -4x + 4y = 0 + 5y -4x + 4y = 5y Add '-4y' to each side of the equation. -4x + 4y + -4y = 5y + -4y Combine like terms: 4y + -4y = 0 -4x + 0 = 5y + -4y -4x = 5y + -4y Combine like terms: 5y + -4y = 1y -4x = 1y Divide each side by '-4'. x = -0.25y Simplifying x = -0.25y
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