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Simplifying 3(3x + 4y) + 2(3x + 4y) = 0 (3x * 3 + 4y * 3) + 2(3x + 4y) = 0 (9x + 12y) + 2(3x + 4y) = 0 9x + 12y + (3x * 2 + 4y * 2) = 0 9x + 12y + (6x + 8y) = 0 Reorder the terms: 9x + 6x + 12y + 8y = 0 Combine like terms: 9x + 6x = 15x 15x + 12y + 8y = 0 Combine like terms: 12y + 8y = 20y 15x + 20y = 0 Solving 15x + 20y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. 15x + 20y + -20y = 0 + -20y Combine like terms: 20y + -20y = 0 15x + 0 = 0 + -20y 15x = 0 + -20y Remove the zero: 15x = -20y Divide each side by '15'. x = -1.333333333y Simplifying x = -1.333333333y
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