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Simplifying -5x + -10y + -3x + 14y = 0 Reorder the terms: -5x + -3x + -10y + 14y = 0 Combine like terms: -5x + -3x = -8x -8x + -10y + 14y = 0 Combine like terms: -10y + 14y = 4y -8x + 4y = 0 Solving -8x + 4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -8x + 4y + -4y = 0 + -4y Combine like terms: 4y + -4y = 0 -8x + 0 = 0 + -4y -8x = 0 + -4y Remove the zero: -8x = -4y Divide each side by '-8'. x = 0.5y Simplifying x = 0.5y
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