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Simplifying (53x + 53y) + -1(3x + -14y) = 0 Remove parenthesis around (53x + 53y) 53x + 53y + -1(3x + -14y) = 0 53x + 53y + (3x * -1 + -14y * -1) = 0 53x + 53y + (-3x + 14y) = 0 Reorder the terms: 53x + -3x + 53y + 14y = 0 Combine like terms: 53x + -3x = 50x 50x + 53y + 14y = 0 Combine like terms: 53y + 14y = 67y 50x + 67y = 0 Solving 50x + 67y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-67y' to each side of the equation. 50x + 67y + -67y = 0 + -67y Combine like terms: 67y + -67y = 0 50x + 0 = 0 + -67y 50x = 0 + -67y Remove the zero: 50x = -67y Divide each side by '50'. x = -1.34y Simplifying x = -1.34y
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