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Simplifying (42x + 61y) + (49x + -9y) = 0 Remove parenthesis around (42x + 61y) 42x + 61y + (49x + -9y) = 0 Remove parenthesis around (49x + -9y) 42x + 61y + 49x + -9y = 0 Reorder the terms: 42x + 49x + 61y + -9y = 0 Combine like terms: 42x + 49x = 91x 91x + 61y + -9y = 0 Combine like terms: 61y + -9y = 52y 91x + 52y = 0 Solving 91x + 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. 91x + 52y + -52y = 0 + -52y Combine like terms: 52y + -52y = 0 91x + 0 = 0 + -52y 91x = 0 + -52y Remove the zero: 91x = -52y Divide each side by '91'. x = -0.5714285714y Simplifying x = -0.5714285714y
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