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Simplifying 2x + 7(3 + -1y) * i = -5 + 4i Reorder the terms for easier multiplication: 2x + 7i(3 + -1y) = -5 + 4i 2x + (3 * 7i + -1y * 7i) = -5 + 4i 2x + (21i + -7iy) = -5 + 4i Reorder the terms: 21i + -7iy + 2x = -5 + 4i Solving 21i + -7iy + 2x = -5 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. 21i + -7iy + -4i + 2x = -5 + 4i + -4i Reorder the terms: 21i + -4i + -7iy + 2x = -5 + 4i + -4i Combine like terms: 21i + -4i = 17i 17i + -7iy + 2x = -5 + 4i + -4i Combine like terms: 4i + -4i = 0 17i + -7iy + 2x = -5 + 0 17i + -7iy + 2x = -5 Add '-2x' to each side of the equation. 17i + -7iy + 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 17i + -7iy + 0 = -5 + -2x 17i + -7iy = -5 + -2x Reorder the terms: 5 + 17i + -7iy + 2x = -5 + -2x + 5 + 2x Reorder the terms: 5 + 17i + -7iy + 2x = -5 + 5 + -2x + 2x Combine like terms: -5 + 5 = 0 5 + 17i + -7iy + 2x = 0 + -2x + 2x 5 + 17i + -7iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 5 + 17i + -7iy + 2x = 0 The solution to this equation could not be determined.
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