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Simplifying 2(2x + 3y) + 3(x + y) = 0 (2x * 2 + 3y * 2) + 3(x + y) = 0 (4x + 6y) + 3(x + y) = 0 4x + 6y + (x * 3 + y * 3) = 0 4x + 6y + (3x + 3y) = 0 Reorder the terms: 4x + 3x + 6y + 3y = 0 Combine like terms: 4x + 3x = 7x 7x + 6y + 3y = 0 Combine like terms: 6y + 3y = 9y 7x + 9y = 0 Solving 7x + 9y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 7x + 9y + -9y = 0 + -9y Combine like terms: 9y + -9y = 0 7x + 0 = 0 + -9y 7x = 0 + -9y Remove the zero: 7x = -9y Divide each side by '7'. x = -1.285714286y Simplifying x = -1.285714286y
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