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Simplifying (9x + 17y) + (12x + -5y) = 0 Remove parenthesis around (9x + 17y) 9x + 17y + (12x + -5y) = 0 Remove parenthesis around (12x + -5y) 9x + 17y + 12x + -5y = 0 Reorder the terms: 9x + 12x + 17y + -5y = 0 Combine like terms: 9x + 12x = 21x 21x + 17y + -5y = 0 Combine like terms: 17y + -5y = 12y 21x + 12y = 0 Solving 21x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. 21x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 21x + 0 = 0 + -12y 21x = 0 + -12y Remove the zero: 21x = -12y Divide each side by '21'. x = -0.5714285714y Simplifying x = -0.5714285714y
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