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Simplifying 8(x + y) + 3(x + -1y) = 0 (x * 8 + y * 8) + 3(x + -1y) = 0 (8x + 8y) + 3(x + -1y) = 0 8x + 8y + (x * 3 + -1y * 3) = 0 8x + 8y + (3x + -3y) = 0 Reorder the terms: 8x + 3x + 8y + -3y = 0 Combine like terms: 8x + 3x = 11x 11x + 8y + -3y = 0 Combine like terms: 8y + -3y = 5y 11x + 5y = 0 Solving 11x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5y' to each side of the equation. 11x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 11x + 0 = 0 + -5y 11x = 0 + -5y Remove the zero: 11x = -5y Divide each side by '11'. x = -0.4545454545y Simplifying x = -0.4545454545y
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