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Simplifying 3x + 4y + -9(5x + -6y) = 0 3x + 4y + (5x * -9 + -6y * -9) = 0 3x + 4y + (-45x + 54y) = 0 Reorder the terms: 3x + -45x + 4y + 54y = 0 Combine like terms: 3x + -45x = -42x -42x + 4y + 54y = 0 Combine like terms: 4y + 54y = 58y -42x + 58y = 0 Solving -42x + 58y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58y' to each side of the equation. -42x + 58y + -58y = 0 + -58y Combine like terms: 58y + -58y = 0 -42x + 0 = 0 + -58y -42x = 0 + -58y Remove the zero: -42x = -58y Divide each side by '-42'. x = 1.380952381y Simplifying x = 1.380952381y
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