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Simplifying 5x + -2y = 2y + -3x Reorder the terms: 5x + -2y = -3x + 2y Solving 5x + -2y = -3x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5x + 3x + -2y = -3x + 3x + 2y Combine like terms: 5x + 3x = 8x 8x + -2y = -3x + 3x + 2y Combine like terms: -3x + 3x = 0 8x + -2y = 0 + 2y 8x + -2y = 2y Add '2y' to each side of the equation. 8x + -2y + 2y = 2y + 2y Combine like terms: -2y + 2y = 0 8x + 0 = 2y + 2y 8x = 2y + 2y Combine like terms: 2y + 2y = 4y 8x = 4y Divide each side by '8'. x = 0.5y Simplifying x = 0.5y
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