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Simplifying (40x + 69y) + (-24x + 40y) = 0 Remove parenthesis around (40x + 69y) 40x + 69y + (-24x + 40y) = 0 Remove parenthesis around (-24x + 40y) 40x + 69y + -24x + 40y = 0 Reorder the terms: 40x + -24x + 69y + 40y = 0 Combine like terms: 40x + -24x = 16x 16x + 69y + 40y = 0 Combine like terms: 69y + 40y = 109y 16x + 109y = 0 Solving 16x + 109y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-109y' to each side of the equation. 16x + 109y + -109y = 0 + -109y Combine like terms: 109y + -109y = 0 16x + 0 = 0 + -109y 16x = 0 + -109y Remove the zero: 16x = -109y Divide each side by '16'. x = -6.8125y Simplifying x = -6.8125y
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