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Simplifying (50x + 59y) + -1(5x + -7y) = 0 Remove parenthesis around (50x + 59y) 50x + 59y + -1(5x + -7y) = 0 50x + 59y + (5x * -1 + -7y * -1) = 0 50x + 59y + (-5x + 7y) = 0 Reorder the terms: 50x + -5x + 59y + 7y = 0 Combine like terms: 50x + -5x = 45x 45x + 59y + 7y = 0 Combine like terms: 59y + 7y = 66y 45x + 66y = 0 Solving 45x + 66y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-66y' to each side of the equation. 45x + 66y + -66y = 0 + -66y Combine like terms: 66y + -66y = 0 45x + 0 = 0 + -66y 45x = 0 + -66y Remove the zero: 45x = -66y Divide each side by '45'. x = -1.466666667y Simplifying x = -1.466666667y
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