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Simplifying 2(3x + 2y) + 3(3x + 3y) = 0 (3x * 2 + 2y * 2) + 3(3x + 3y) = 0 (6x + 4y) + 3(3x + 3y) = 0 6x + 4y + (3x * 3 + 3y * 3) = 0 6x + 4y + (9x + 9y) = 0 Reorder the terms: 6x + 9x + 4y + 9y = 0 Combine like terms: 6x + 9x = 15x 15x + 4y + 9y = 0 Combine like terms: 4y + 9y = 13y 15x + 13y = 0 Solving 15x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. 15x + 13y + -13y = 0 + -13y Combine like terms: 13y + -13y = 0 15x + 0 = 0 + -13y 15x = 0 + -13y Remove the zero: 15x = -13y Divide each side by '15'. x = -0.8666666667y Simplifying x = -0.8666666667y
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