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Simplifying x = (3 + i)(4 + 2i) Multiply (3 + i) * (4 + 2i) x = (3(4 + 2i) + i(4 + 2i)) x = ((4 * 3 + 2i * 3) + i(4 + 2i)) x = ((12 + 6i) + i(4 + 2i)) x = (12 + 6i + (4 * i + 2i * i)) x = (12 + 6i + (4i + 2i2)) Combine like terms: 6i + 4i = 10i x = (12 + 10i + 2i2) Solving x = 12 + 10i + 2i2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Simplifying x = 12 + 10i + 2i2
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