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