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Simplifying 6 + 13i + 7x = -6 + 19i + 3yi Solving 6 + 13i + 7x = -6 + 19i + 3iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-19i' to each side of the equation. 6 + 13i + -19i + 7x = -6 + 19i + -19i + 3iy Combine like terms: 13i + -19i = -6i 6 + -6i + 7x = -6 + 19i + -19i + 3iy Combine like terms: 19i + -19i = 0 6 + -6i + 7x = -6 + 0 + 3iy 6 + -6i + 7x = -6 + 3iy Add '-3iy' to each side of the equation. 6 + -6i + -3iy + 7x = -6 + 3iy + -3iy Combine like terms: 3iy + -3iy = 0 6 + -6i + -3iy + 7x = -6 + 0 6 + -6i + -3iy + 7x = -6 Add '-6' to each side of the equation. 6 + -6i + -3iy + -6 + 7x = -6 + -6 Reorder the terms: 6 + -6 + -6i + -3iy + 7x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -6i + -3iy + 7x = -6 + -6 -6i + -3iy + 7x = -6 + -6 Combine like terms: -6 + -6 = -12 -6i + -3iy + 7x = -12 Add '-7x' to each side of the equation. -6i + -3iy + 7x + -7x = -12 + -7x Combine like terms: 7x + -7x = 0 -6i + -3iy + 0 = -12 + -7x -6i + -3iy = -12 + -7x Reorder the terms: 12 + -6i + -3iy + 7x = -12 + -7x + 12 + 7x Reorder the terms: 12 + -6i + -3iy + 7x = -12 + 12 + -7x + 7x Combine like terms: -12 + 12 = 0 12 + -6i + -3iy + 7x = 0 + -7x + 7x 12 + -6i + -3iy + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 12 + -6i + -3iy + 7x = 0 The solution to this equation could not be determined.
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