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Simplifying (49x + 71y) + -1(20x + 30y) = 0 Remove parenthesis around (49x + 71y) 49x + 71y + -1(20x + 30y) = 0 49x + 71y + (20x * -1 + 30y * -1) = 0 49x + 71y + (-20x + -30y) = 0 Reorder the terms: 49x + -20x + 71y + -30y = 0 Combine like terms: 49x + -20x = 29x 29x + 71y + -30y = 0 Combine like terms: 71y + -30y = 41y 29x + 41y = 0 Solving 29x + 41y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-41y' to each side of the equation. 29x + 41y + -41y = 0 + -41y Combine like terms: 41y + -41y = 0 29x + 0 = 0 + -41y 29x = 0 + -41y Remove the zero: 29x = -41y Divide each side by '29'. x = -1.413793103y Simplifying x = -1.413793103y
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