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Simplifying 8x + 2y + -4x + -1y = 0 Reorder the terms: 8x + -4x + 2y + -1y = 0 Combine like terms: 8x + -4x = 4x 4x + 2y + -1y = 0 Combine like terms: 2y + -1y = 1y 4x + 1y = 0 Solving 4x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 4x + 1y + -1y = 0 + -1y Combine like terms: 1y + -1y = 0 4x + 0 = 0 + -1y 4x = 0 + -1y Remove the zero: 4x = -1y Divide each side by '4'. x = -0.25y Simplifying x = -0.25y
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