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Simplifying (50x + 71y) + -1(5x + 39y) = 0 Remove parenthesis around (50x + 71y) 50x + 71y + -1(5x + 39y) = 0 50x + 71y + (5x * -1 + 39y * -1) = 0 50x + 71y + (-5x + -39y) = 0 Reorder the terms: 50x + -5x + 71y + -39y = 0 Combine like terms: 50x + -5x = 45x 45x + 71y + -39y = 0 Combine like terms: 71y + -39y = 32y 45x + 32y = 0 Solving 45x + 32y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32y' to each side of the equation. 45x + 32y + -32y = 0 + -32y Combine like terms: 32y + -32y = 0 45x + 0 = 0 + -32y 45x = 0 + -32y Remove the zero: 45x = -32y Divide each side by '45'. x = -0.7111111111y Simplifying x = -0.7111111111y
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