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Simplifying 10x + 4y + -5x + 6y = 0 Reorder the terms: 10x + -5x + 4y + 6y = 0 Combine like terms: 10x + -5x = 5x 5x + 4y + 6y = 0 Combine like terms: 4y + 6y = 10y 5x + 10y = 0 Solving 5x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 5x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 5x + 0 = 0 + -10y 5x = 0 + -10y Remove the zero: 5x = -10y Divide each side by '5'. x = -2y Simplifying x = -2y
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