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Simplifying (35x + 67y) + (-20x + 41y) = 0 Remove parenthesis around (35x + 67y) 35x + 67y + (-20x + 41y) = 0 Remove parenthesis around (-20x + 41y) 35x + 67y + -20x + 41y = 0 Reorder the terms: 35x + -20x + 67y + 41y = 0 Combine like terms: 35x + -20x = 15x 15x + 67y + 41y = 0 Combine like terms: 67y + 41y = 108y 15x + 108y = 0 Solving 15x + 108y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-108y' to each side of the equation. 15x + 108y + -108y = 0 + -108y Combine like terms: 108y + -108y = 0 15x + 0 = 0 + -108y 15x = 0 + -108y Remove the zero: 15x = -108y Divide each side by '15'. x = -7.2y Simplifying x = -7.2y
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