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Simplifying 3ix + -5i = (2 + 3i) * x + 7 Reorder the terms: -5i + 3ix = (2 + 3i) * x + 7 Reorder the terms for easier multiplication: -5i + 3ix = x(2 + 3i) + 7 -5i + 3ix = (2 * x + 3i * x) + 7 Reorder the terms: -5i + 3ix = (3ix + 2x) + 7 -5i + 3ix = (3ix + 2x) + 7 Reorder the terms: -5i + 3ix = 7 + 3ix + 2x Add '-3ix' to each side of the equation. -5i + 3ix + -3ix = 7 + 3ix + -3ix + 2x Combine like terms: 3ix + -3ix = 0 -5i + 0 = 7 + 3ix + -3ix + 2x -5i = 7 + 3ix + -3ix + 2x Combine like terms: 3ix + -3ix = 0 -5i = 7 + 0 + 2x -5i = 7 + 2x Solving -5i = 7 + 2x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Divide each side by '-5'. i = -1.4 + -0.4x Simplifying i = -1.4 + -0.4x
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