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Simplifying (2 + 5i) + -1(7 + -9i) = x Remove parenthesis around (2 + 5i) 2 + 5i + -1(7 + -9i) = x 2 + 5i + (7 * -1 + -9i * -1) = x 2 + 5i + (-7 + 9i) = x Reorder the terms: 2 + -7 + 5i + 9i = x Combine like terms: 2 + -7 = -5 -5 + 5i + 9i = x Combine like terms: 5i + 9i = 14i -5 + 14i = x Solving -5 + 14i = x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 14i = 5 + x Combine like terms: -5 + 5 = 0 0 + 14i = 5 + x 14i = 5 + x Divide each side by '14'. i = 0.3571428571 + 0.07142857143x Simplifying i = 0.3571428571 + 0.07142857143x
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