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Simplifying 4(2x + 3y) + 3(x + 3y) = 0 (2x * 4 + 3y * 4) + 3(x + 3y) = 0 (8x + 12y) + 3(x + 3y) = 0 8x + 12y + (x * 3 + 3y * 3) = 0 8x + 12y + (3x + 9y) = 0 Reorder the terms: 8x + 3x + 12y + 9y = 0 Combine like terms: 8x + 3x = 11x 11x + 12y + 9y = 0 Combine like terms: 12y + 9y = 21y 11x + 21y = 0 Solving 11x + 21y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21y' to each side of the equation. 11x + 21y + -21y = 0 + -21y Combine like terms: 21y + -21y = 0 11x + 0 = 0 + -21y 11x = 0 + -21y Remove the zero: 11x = -21y Divide each side by '11'. x = -1.909090909y Simplifying x = -1.909090909y
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