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Simplifying 3x + 4y + -6x + 7y = 0 Reorder the terms: 3x + -6x + 4y + 7y = 0 Combine like terms: 3x + -6x = -3x -3x + 4y + 7y = 0 Combine like terms: 4y + 7y = 11y -3x + 11y = 0 Solving -3x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11y' to each side of the equation. -3x + 11y + -11y = 0 + -11y Combine like terms: 11y + -11y = 0 -3x + 0 = 0 + -11y -3x = 0 + -11y Remove the zero: -3x = -11y Divide each side by '-3'. x = 3.666666667y Simplifying x = 3.666666667y
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