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Simplifying (5x + -3y) + (12x + 9y) = 0 Remove parenthesis around (5x + -3y) 5x + -3y + (12x + 9y) = 0 Remove parenthesis around (12x + 9y) 5x + -3y + 12x + 9y = 0 Reorder the terms: 5x + 12x + -3y + 9y = 0 Combine like terms: 5x + 12x = 17x 17x + -3y + 9y = 0 Combine like terms: -3y + 9y = 6y 17x + 6y = 0 Solving 17x + 6y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 17x + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 17x + 0 = 0 + -6y 17x = 0 + -6y Remove the zero: 17x = -6y Divide each side by '17'. x = -0.3529411765y Simplifying x = -0.3529411765y
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