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Simplifying 7x + 2y + -6(5x + -9y) = 0 7x + 2y + (5x * -6 + -9y * -6) = 0 7x + 2y + (-30x + 54y) = 0 Reorder the terms: 7x + -30x + 2y + 54y = 0 Combine like terms: 7x + -30x = -23x -23x + 2y + 54y = 0 Combine like terms: 2y + 54y = 56y -23x + 56y = 0 Solving -23x + 56y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56y' to each side of the equation. -23x + 56y + -56y = 0 + -56y Combine like terms: 56y + -56y = 0 -23x + 0 = 0 + -56y -23x = 0 + -56y Remove the zero: -23x = -56y Divide each side by '-23'. x = 2.434782609y Simplifying x = 2.434782609y
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