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Simplifying (49x + 83y) + -1(2x + 31y) = 0 Remove parenthesis around (49x + 83y) 49x + 83y + -1(2x + 31y) = 0 49x + 83y + (2x * -1 + 31y * -1) = 0 49x + 83y + (-2x + -31y) = 0 Reorder the terms: 49x + -2x + 83y + -31y = 0 Combine like terms: 49x + -2x = 47x 47x + 83y + -31y = 0 Combine like terms: 83y + -31y = 52y 47x + 52y = 0 Solving 47x + 52y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52y' to each side of the equation. 47x + 52y + -52y = 0 + -52y Combine like terms: 52y + -52y = 0 47x + 0 = 0 + -52y 47x = 0 + -52y Remove the zero: 47x = -52y Divide each side by '47'. x = -1.106382979y Simplifying x = -1.106382979y
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