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Simplifying 2x + 9y + -4(2x + -3y) = 0 2x + 9y + (2x * -4 + -3y * -4) = 0 2x + 9y + (-8x + 12y) = 0 Reorder the terms: 2x + -8x + 9y + 12y = 0 Combine like terms: 2x + -8x = -6x -6x + 9y + 12y = 0 Combine like terms: 9y + 12y = 21y -6x + 21y = 0 Solving -6x + 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. -6x + 21y + -21y = 0 + -21y Combine like terms: 21y + -21y = 0 -6x + 0 = 0 + -21y -6x = 0 + -21y Remove the zero: -6x = -21y Divide each side by '-6'. x = 3.5y Simplifying x = 3.5y
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