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Simplifying (17x + -12y) + (37x + 38y) = 0 Remove parenthesis around (17x + -12y) 17x + -12y + (37x + 38y) = 0 Remove parenthesis around (37x + 38y) 17x + -12y + 37x + 38y = 0 Reorder the terms: 17x + 37x + -12y + 38y = 0 Combine like terms: 17x + 37x = 54x 54x + -12y + 38y = 0 Combine like terms: -12y + 38y = 26y 54x + 26y = 0 Solving 54x + 26y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26y' to each side of the equation. 54x + 26y + -26y = 0 + -26y Combine like terms: 26y + -26y = 0 54x + 0 = 0 + -26y 54x = 0 + -26y Remove the zero: 54x = -26y Divide each side by '54'. x = -0.4814814815y Simplifying x = -0.4814814815y
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