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Simplifying 2(x + y) + 3(x + y) = 0 (x * 2 + y * 2) + 3(x + y) = 0 (2x + 2y) + 3(x + y) = 0 2x + 2y + (x * 3 + y * 3) = 0 2x + 2y + (3x + 3y) = 0 Reorder the terms: 2x + 3x + 2y + 3y = 0 Combine like terms: 2x + 3x = 5x 5x + 2y + 3y = 0 Combine like terms: 2y + 3y = 5y 5x + 5y = 0 Solving 5x + 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. 5x + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 5x + 0 = 0 + -5y 5x = 0 + -5y Remove the zero: 5x = -5y Divide each side by '5'. x = -1y Simplifying x = -1y
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