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Simplifying x = (6 + 7i)(5 + -8i) Multiply (6 + 7i) * (5 + -8i) x = (6(5 + -8i) + 7i * (5 + -8i)) x = ((5 * 6 + -8i * 6) + 7i * (5 + -8i)) x = ((30 + -48i) + 7i * (5 + -8i)) x = (30 + -48i + (5 * 7i + -8i * 7i)) x = (30 + -48i + (35i + -56i2)) Combine like terms: -48i + 35i = -13i x = (30 + -13i + -56i2) Solving x = 30 + -13i + -56i2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Simplifying x = 30 + -13i + -56i2
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