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Simplifying 2x + 4y = 6y + 0.5x Reorder the terms: 2x + 4y = 0.5x + 6y Solving 2x + 4y = 0.5x + 6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 2x + -0.5x + 4y = 0.5x + -0.5x + 6y Combine like terms: 2x + -0.5x = 1.5x 1.5x + 4y = 0.5x + -0.5x + 6y Combine like terms: 0.5x + -0.5x = 0.0 1.5x + 4y = 0.0 + 6y 1.5x + 4y = 6y Add '-4y' to each side of the equation. 1.5x + 4y + -4y = 6y + -4y Combine like terms: 4y + -4y = 0 1.5x + 0 = 6y + -4y 1.5x = 6y + -4y Combine like terms: 6y + -4y = 2y 1.5x = 2y Divide each side by '1.5'. x = 1.333333333y Simplifying x = 1.333333333y
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