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Simplifying 3x + 5y + -6x + 12y = 0 Reorder the terms: 3x + -6x + 5y + 12y = 0 Combine like terms: 3x + -6x = -3x -3x + 5y + 12y = 0 Combine like terms: 5y + 12y = 17y -3x + 17y = 0 Solving -3x + 17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17y' to each side of the equation. -3x + 17y + -17y = 0 + -17y Combine like terms: 17y + -17y = 0 -3x + 0 = 0 + -17y -3x = 0 + -17y Remove the zero: -3x = -17y Divide each side by '-3'. x = 5.666666667y Simplifying x = 5.666666667y
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