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Simplifying 4x + 2y = 5y + -2x Reorder the terms: 4x + 2y = -2x + 5y Solving 4x + 2y = -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. 4x + 2x + 2y = -2x + 2x + 5y Combine like terms: 4x + 2x = 6x 6x + 2y = -2x + 2x + 5y Combine like terms: -2x + 2x = 0 6x + 2y = 0 + 5y 6x + 2y = 5y Add '-2y' to each side of the equation. 6x + 2y + -2y = 5y + -2y Combine like terms: 2y + -2y = 0 6x + 0 = 5y + -2y 6x = 5y + -2y Combine like terms: 5y + -2y = 3y 6x = 3y Divide each side by '6'. x = 0.5y Simplifying x = 0.5y
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