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Simplifying (2x + -27y) + (48x + 65y) = 0 Remove parenthesis around (2x + -27y) 2x + -27y + (48x + 65y) = 0 Remove parenthesis around (48x + 65y) 2x + -27y + 48x + 65y = 0 Reorder the terms: 2x + 48x + -27y + 65y = 0 Combine like terms: 2x + 48x = 50x 50x + -27y + 65y = 0 Combine like terms: -27y + 65y = 38y 50x + 38y = 0 Solving 50x + 38y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-38y' to each side of the equation. 50x + 38y + -38y = 0 + -38y Combine like terms: 38y + -38y = 0 50x + 0 = 0 + -38y 50x = 0 + -38y Remove the zero: 50x = -38y Divide each side by '50'. x = -0.76y Simplifying x = -0.76y
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