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Simplifying (2 + -3i) * x + -13y = 0 Reorder the terms for easier multiplication: x(2 + -3i) + -13y = 0 (2 * x + -3i * x) + -13y = 0 Reorder the terms: (-3ix + 2x) + -13y = 0 (-3ix + 2x) + -13y = 0 Solving -3ix + 2x + -13y = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2x' to each side of the equation. -3ix + 2x + -2x + -13y = 0 + -2x Combine like terms: 2x + -2x = 0 -3ix + 0 + -13y = 0 + -2x -3ix + -13y = 0 + -2x Remove the zero: -3ix + -13y = -2x Add '13y' to each side of the equation. -3ix + -13y + 13y = -2x + 13y Combine like terms: -13y + 13y = 0 -3ix + 0 = -2x + 13y -3ix = -2x + 13y Divide each side by '-3x'. i = 0.6666666667 + -4.333333333x-1y Simplifying i = 0.6666666667 + -4.333333333x-1y
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