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Simplifying (14x + -27y) + (32x + 65y) = 0 Remove parenthesis around (14x + -27y) 14x + -27y + (32x + 65y) = 0 Remove parenthesis around (32x + 65y) 14x + -27y + 32x + 65y = 0 Reorder the terms: 14x + 32x + -27y + 65y = 0 Combine like terms: 14x + 32x = 46x 46x + -27y + 65y = 0 Combine like terms: -27y + 65y = 38y 46x + 38y = 0 Solving 46x + 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. 46x + 38y + -38y = 0 + -38y Combine like terms: 38y + -38y = 0 46x + 0 = 0 + -38y 46x = 0 + -38y Remove the zero: 46x = -38y Divide each side by '46'. x = -0.8260869565y Simplifying x = -0.8260869565y
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