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Simplifying 5x + -2y + 3x + 5y = 0 Reorder the terms: 5x + 3x + -2y + 5y = 0 Combine like terms: 5x + 3x = 8x 8x + -2y + 5y = 0 Combine like terms: -2y + 5y = 3y 8x + 3y = 0 Solving 8x + 3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y' to each side of the equation. 8x + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 8x + 0 = 0 + -3y 8x = 0 + -3y Remove the zero: 8x = -3y Divide each side by '8'. x = -0.375y Simplifying x = -0.375y
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