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Simplifying 6x + 6y + -5(4x + -9y) = 0 6x + 6y + (4x * -5 + -9y * -5) = 0 6x + 6y + (-20x + 45y) = 0 Reorder the terms: 6x + -20x + 6y + 45y = 0 Combine like terms: 6x + -20x = -14x -14x + 6y + 45y = 0 Combine like terms: 6y + 45y = 51y -14x + 51y = 0 Solving -14x + 51y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51y' to each side of the equation. -14x + 51y + -51y = 0 + -51y Combine like terms: 51y + -51y = 0 -14x + 0 = 0 + -51y -14x = 0 + -51y Remove the zero: -14x = -51y Divide each side by '-14'. x = 3.642857143y Simplifying x = 3.642857143y
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