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