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Simplifying 2x + 3i = 18 + -1(y + -3) * i Reorder the terms: 3i + 2x = 18 + -1(y + -3) * i Reorder the terms: 3i + 2x = 18 + -1(-3 + y) * i Reorder the terms for easier multiplication: 3i + 2x = 18 + -1i(-3 + y) 3i + 2x = 18 + (-3 * -1i + y * -1i) 3i + 2x = 18 + (3i + -1iy) Add '-3i' to each side of the equation. 3i + -3i + 2x = 18 + 3i + -3i + -1iy Combine like terms: 3i + -3i = 0 0 + 2x = 18 + 3i + -3i + -1iy 2x = 18 + 3i + -3i + -1iy Combine like terms: 3i + -3i = 0 2x = 18 + 0 + -1iy 2x = 18 + -1iy Solving 2x = 18 + -1iy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '2'. x = 9 + -0.5iy Simplifying x = 9 + -0.5iy
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