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Simplifying 5x + 9y + -3(6x + -6y) = 0 5x + 9y + (6x * -3 + -6y * -3) = 0 5x + 9y + (-18x + 18y) = 0 Reorder the terms: 5x + -18x + 9y + 18y = 0 Combine like terms: 5x + -18x = -13x -13x + 9y + 18y = 0 Combine like terms: 9y + 18y = 27y -13x + 27y = 0 Solving -13x + 27y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27y' to each side of the equation. -13x + 27y + -27y = 0 + -27y Combine like terms: 27y + -27y = 0 -13x + 0 = 0 + -27y -13x = 0 + -27y Remove the zero: -13x = -27y Divide each side by '-13'. x = 2.076923077y Simplifying x = 2.076923077y
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