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