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Simplifying 8x + 3y + -12x + 21y = 0 Reorder the terms: 8x + -12x + 3y + 21y = 0 Combine like terms: 8x + -12x = -4x -4x + 3y + 21y = 0 Combine like terms: 3y + 21y = 24y -4x + 24y = 0 Solving -4x + 24y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24y' to each side of the equation. -4x + 24y + -24y = 0 + -24y Combine like terms: 24y + -24y = 0 -4x + 0 = 0 + -24y -4x = 0 + -24y Remove the zero: -4x = -24y Divide each side by '-4'. x = 6y Simplifying x = 6y
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