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Simplifying 4 + 3i + 7x = -12 + 16i + 19yi Solving 4 + 3i + 7x = -12 + 16i + 19iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16i' to each side of the equation. 4 + 3i + -16i + 7x = -12 + 16i + -16i + 19iy Combine like terms: 3i + -16i = -13i 4 + -13i + 7x = -12 + 16i + -16i + 19iy Combine like terms: 16i + -16i = 0 4 + -13i + 7x = -12 + 0 + 19iy 4 + -13i + 7x = -12 + 19iy Add '-19iy' to each side of the equation. 4 + -13i + -19iy + 7x = -12 + 19iy + -19iy Combine like terms: 19iy + -19iy = 0 4 + -13i + -19iy + 7x = -12 + 0 4 + -13i + -19iy + 7x = -12 Add '-4' to each side of the equation. 4 + -13i + -19iy + -4 + 7x = -12 + -4 Reorder the terms: 4 + -4 + -13i + -19iy + 7x = -12 + -4 Combine like terms: 4 + -4 = 0 0 + -13i + -19iy + 7x = -12 + -4 -13i + -19iy + 7x = -12 + -4 Combine like terms: -12 + -4 = -16 -13i + -19iy + 7x = -16 Add '-7x' to each side of the equation. -13i + -19iy + 7x + -7x = -16 + -7x Combine like terms: 7x + -7x = 0 -13i + -19iy + 0 = -16 + -7x -13i + -19iy = -16 + -7x Reorder the terms: 16 + -13i + -19iy + 7x = -16 + -7x + 16 + 7x Reorder the terms: 16 + -13i + -19iy + 7x = -16 + 16 + -7x + 7x Combine like terms: -16 + 16 = 0 16 + -13i + -19iy + 7x = 0 + -7x + 7x 16 + -13i + -19iy + 7x = -7x + 7x Combine like terms: -7x + 7x = 0 16 + -13i + -19iy + 7x = 0 The solution to this equation could not be determined.
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