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Simplifying 5(x + y) + 3(x + -1y) = 0 (x * 5 + y * 5) + 3(x + -1y) = 0 (5x + 5y) + 3(x + -1y) = 0 5x + 5y + (x * 3 + -1y * 3) = 0 5x + 5y + (3x + -3y) = 0 Reorder the terms: 5x + 3x + 5y + -3y = 0 Combine like terms: 5x + 3x = 8x 8x + 5y + -3y = 0 Combine like terms: 5y + -3y = 2y 8x + 2y = 0 Solving 8x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 8x + 2y + -2y = 0 + -2y Combine like terms: 2y + -2y = 0 8x + 0 = 0 + -2y 8x = 0 + -2y Remove the zero: 8x = -2y Divide each side by '8'. x = -0.25y Simplifying x = -0.25y
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