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Simplifying 9x + -7i = 3(3x + -7i) Reorder the terms: -7i + 9x = 3(3x + -7i) Reorder the terms: -7i + 9x = 3(-7i + 3x) -7i + 9x = (-7i * 3 + 3x * 3) -7i + 9x = (-21i + 9x) Add '-9x' to each side of the equation. -7i + 9x + -9x = -21i + 9x + -9x Combine like terms: 9x + -9x = 0 -7i + 0 = -21i + 9x + -9x -7i = -21i + 9x + -9x Combine like terms: 9x + -9x = 0 -7i = -21i + 0 -7i = -21i Solving -7i = -21i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '21i' to each side of the equation. -7i + 21i = -21i + 21i Combine like terms: -7i + 21i = 14i 14i = -21i + 21i Combine like terms: -21i + 21i = 0 14i = 0 Divide each side by '14'. i = 0 Simplifying i = 0
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