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Simplifying 5 + (3x + -7) * i = 9 + -3i Reorder the terms: 5 + (-7 + 3x) * i = 9 + -3i Reorder the terms for easier multiplication: 5 + i(-7 + 3x) = 9 + -3i 5 + (-7 * i + 3x * i) = 9 + -3i 5 + (-7i + 3ix) = 9 + -3i Solving 5 + -7i + 3ix = 9 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 5 + -7i + 3i + 3ix = 9 + -3i + 3i Combine like terms: -7i + 3i = -4i 5 + -4i + 3ix = 9 + -3i + 3i Combine like terms: -3i + 3i = 0 5 + -4i + 3ix = 9 + 0 5 + -4i + 3ix = 9 Add '-5' to each side of the equation. 5 + -4i + -5 + 3ix = 9 + -5 Reorder the terms: 5 + -5 + -4i + 3ix = 9 + -5 Combine like terms: 5 + -5 = 0 0 + -4i + 3ix = 9 + -5 -4i + 3ix = 9 + -5 Combine like terms: 9 + -5 = 4 -4i + 3ix = 4 Reorder the terms: -4 + -4i + 3ix = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -4i + 3ix = 0 The solution to this equation could not be determined.
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