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Simplifying (45x + 66y) + (-23x + 43y) = 0 Remove parenthesis around (45x + 66y) 45x + 66y + (-23x + 43y) = 0 Remove parenthesis around (-23x + 43y) 45x + 66y + -23x + 43y = 0 Reorder the terms: 45x + -23x + 66y + 43y = 0 Combine like terms: 45x + -23x = 22x 22x + 66y + 43y = 0 Combine like terms: 66y + 43y = 109y 22x + 109y = 0 Solving 22x + 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. 22x + 109y + -109y = 0 + -109y Combine like terms: 109y + -109y = 0 22x + 0 = 0 + -109y 22x = 0 + -109y Remove the zero: 22x = -109y Divide each side by '22'. x = -4.954545455y Simplifying x = -4.954545455y
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