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Simplifying (41x + -10y) + (34x + 40y) = 0 Remove parenthesis around (41x + -10y) 41x + -10y + (34x + 40y) = 0 Remove parenthesis around (34x + 40y) 41x + -10y + 34x + 40y = 0 Reorder the terms: 41x + 34x + -10y + 40y = 0 Combine like terms: 41x + 34x = 75x 75x + -10y + 40y = 0 Combine like terms: -10y + 40y = 30y 75x + 30y = 0 Solving 75x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. 75x + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 75x + 0 = 0 + -30y 75x = 0 + -30y Remove the zero: 75x = -30y Divide each side by '75'. x = -0.4y Simplifying x = -0.4y
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