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Simplifying (45x + 50y) + -1(20x + 40y) = 0 Remove parenthesis around (45x + 50y) 45x + 50y + -1(20x + 40y) = 0 45x + 50y + (20x * -1 + 40y * -1) = 0 45x + 50y + (-20x + -40y) = 0 Reorder the terms: 45x + -20x + 50y + -40y = 0 Combine like terms: 45x + -20x = 25x 25x + 50y + -40y = 0 Combine like terms: 50y + -40y = 10y 25x + 10y = 0 Solving 25x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 25x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 25x + 0 = 0 + -10y 25x = 0 + -10y Remove the zero: 25x = -10y Divide each side by '25'. x = -0.4y Simplifying x = -0.4y
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