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Simplifying 5x + 2y + -3x + 4y = 0 Reorder the terms: 5x + -3x + 2y + 4y = 0 Combine like terms: 5x + -3x = 2x 2x + 2y + 4y = 0 Combine like terms: 2y + 4y = 6y 2x + 6y = 0 Solving 2x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 2x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 2x + 0 = 0 + -6y 2x = 0 + -6y Remove the zero: 2x = -6y Divide each side by '2'. x = -3y Simplifying x = -3y
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