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Simplifying 3x + -4 = (1 + -1i) * z + 7i Reorder the terms: -4 + 3x = (1 + -1i) * z + 7i Reorder the terms for easier multiplication: -4 + 3x = z(1 + -1i) + 7i -4 + 3x = (1 * z + -1i * z) + 7i Reorder the terms: -4 + 3x = (-1iz + 1z) + 7i -4 + 3x = (-1iz + 1z) + 7i Reorder the terms: -4 + 3x = 7i + -1iz + 1z Solving -4 + 3x = 7i + -1iz + 1z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 7i + -1iz + 4 + 1z Combine like terms: -4 + 4 = 0 0 + 3x = 7i + -1iz + 4 + 1z 3x = 7i + -1iz + 4 + 1z Reorder the terms: 3x = 4 + 7i + -1iz + 1z Divide each side by '3'. x = 1.333333333 + 2.333333333i + -0.3333333333iz + 0.3333333333z Simplifying x = 1.333333333 + 2.333333333i + -0.3333333333iz + 0.3333333333z
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