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Simplifying 4x + -5y = 5y + -4x Reorder the terms: 4x + -5y = -4x + 5y Solving 4x + -5y = -4x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 4x + 4x + -5y = -4x + 4x + 5y Combine like terms: 4x + 4x = 8x 8x + -5y = -4x + 4x + 5y Combine like terms: -4x + 4x = 0 8x + -5y = 0 + 5y 8x + -5y = 5y Add '5y' to each side of the equation. 8x + -5y + 5y = 5y + 5y Combine like terms: -5y + 5y = 0 8x + 0 = 5y + 5y 8x = 5y + 5y Combine like terms: 5y + 5y = 10y 8x = 10y Divide each side by '8'. x = 1.25y Simplifying x = 1.25y
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