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Simplifying (3 + 4j) * x = 1 + 2j Reorder the terms for easier multiplication: x(3 + 4j) = 1 + 2j (3 * x + 4j * x) = 1 + 2j Reorder the terms: (4jx + 3x) = 1 + 2j (4jx + 3x) = 1 + 2j Solving 4jx + 3x = 1 + 2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2j' to each side of the equation. 4jx + -2j + 3x = 1 + 2j + -2j Reorder the terms: -2j + 4jx + 3x = 1 + 2j + -2j Combine like terms: 2j + -2j = 0 -2j + 4jx + 3x = 1 + 0 -2j + 4jx + 3x = 1 Add '-3x' to each side of the equation. -2j + 4jx + 3x + -3x = 1 + -3x Combine like terms: 3x + -3x = 0 -2j + 4jx + 0 = 1 + -3x -2j + 4jx = 1 + -3x Reorder the terms: -1 + -2j + 4jx + 3x = 1 + -3x + -1 + 3x Reorder the terms: -1 + -2j + 4jx + 3x = 1 + -1 + -3x + 3x Combine like terms: 1 + -1 = 0 -1 + -2j + 4jx + 3x = 0 + -3x + 3x -1 + -2j + 4jx + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -1 + -2j + 4jx + 3x = 0 The solution to this equation could not be determined.
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