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Simplifying (50x + 60y) + -1(-25x + 10y) = 0 Remove parenthesis around (50x + 60y) 50x + 60y + -1(-25x + 10y) = 0 50x + 60y + (-25x * -1 + 10y * -1) = 0 50x + 60y + (25x + -10y) = 0 Reorder the terms: 50x + 25x + 60y + -10y = 0 Combine like terms: 50x + 25x = 75x 75x + 60y + -10y = 0 Combine like terms: 60y + -10y = 50y 75x + 50y = 0 Solving 75x + 50y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50y' to each side of the equation. 75x + 50y + -50y = 0 + -50y Combine like terms: 50y + -50y = 0 75x + 0 = 0 + -50y 75x = 0 + -50y Remove the zero: 75x = -50y Divide each side by '75'. x = -0.6666666667y Simplifying x = -0.6666666667y
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