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Simplifying 5x + 2y + -3x + 8y = 0 Reorder the terms: 5x + -3x + 2y + 8y = 0 Combine like terms: 5x + -3x = 2x 2x + 2y + 8y = 0 Combine like terms: 2y + 8y = 10y 2x + 10y = 0 Solving 2x + 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. 2x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 2x + 0 = 0 + -10y 2x = 0 + -10y Remove the zero: 2x = -10y Divide each side by '2'. x = -5y Simplifying x = -5y
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