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Simplifying (40x + -30y) + (43x + 61y) = 0 Remove parenthesis around (40x + -30y) 40x + -30y + (43x + 61y) = 0 Remove parenthesis around (43x + 61y) 40x + -30y + 43x + 61y = 0 Reorder the terms: 40x + 43x + -30y + 61y = 0 Combine like terms: 40x + 43x = 83x 83x + -30y + 61y = 0 Combine like terms: -30y + 61y = 31y 83x + 31y = 0 Solving 83x + 31y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31y' to each side of the equation. 83x + 31y + -31y = 0 + -31y Combine like terms: 31y + -31y = 0 83x + 0 = 0 + -31y 83x = 0 + -31y Remove the zero: 83x = -31y Divide each side by '83'. x = -0.3734939759y Simplifying x = -0.3734939759y
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