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Simplifying (53x + 52y) + (-8x + 45y) = 0 Remove parenthesis around (53x + 52y) 53x + 52y + (-8x + 45y) = 0 Remove parenthesis around (-8x + 45y) 53x + 52y + -8x + 45y = 0 Reorder the terms: 53x + -8x + 52y + 45y = 0 Combine like terms: 53x + -8x = 45x 45x + 52y + 45y = 0 Combine like terms: 52y + 45y = 97y 45x + 97y = 0 Solving 45x + 97y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-97y' to each side of the equation. 45x + 97y + -97y = 0 + -97y Combine like terms: 97y + -97y = 0 45x + 0 = 0 + -97y 45x = 0 + -97y Remove the zero: 45x = -97y Divide each side by '45'. x = -2.155555556y Simplifying x = -2.155555556y
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