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Simplifying (83x + -63y) + -1(62x + 5y) = 0 Remove parenthesis around (83x + -63y) 83x + -63y + -1(62x + 5y) = 0 83x + -63y + (62x * -1 + 5y * -1) = 0 83x + -63y + (-62x + -5y) = 0 Reorder the terms: 83x + -62x + -63y + -5y = 0 Combine like terms: 83x + -62x = 21x 21x + -63y + -5y = 0 Combine like terms: -63y + -5y = -68y 21x + -68y = 0 Solving 21x + -68y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '68y' to each side of the equation. 21x + -68y + 68y = 0 + 68y Combine like terms: -68y + 68y = 0 21x + 0 = 0 + 68y 21x = 0 + 68y Remove the zero: 21x = 68y Divide each side by '21'. x = 3.238095238y Simplifying x = 3.238095238y
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