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Simplifying 2x + 7(4 + 3y) * i = 13 + -11i Reorder the terms for easier multiplication: 2x + 7i(4 + 3y) = 13 + -11i 2x + (4 * 7i + 3y * 7i) = 13 + -11i 2x + (28i + 21iy) = 13 + -11i Reorder the terms: 28i + 21iy + 2x = 13 + -11i Solving 28i + 21iy + 2x = 13 + -11i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '11i' to each side of the equation. 28i + 21iy + 11i + 2x = 13 + -11i + 11i Reorder the terms: 28i + 11i + 21iy + 2x = 13 + -11i + 11i Combine like terms: 28i + 11i = 39i 39i + 21iy + 2x = 13 + -11i + 11i Combine like terms: -11i + 11i = 0 39i + 21iy + 2x = 13 + 0 39i + 21iy + 2x = 13 Add '-2x' to each side of the equation. 39i + 21iy + 2x + -2x = 13 + -2x Combine like terms: 2x + -2x = 0 39i + 21iy + 0 = 13 + -2x 39i + 21iy = 13 + -2x Reorder the terms: -13 + 39i + 21iy + 2x = 13 + -2x + -13 + 2x Reorder the terms: -13 + 39i + 21iy + 2x = 13 + -13 + -2x + 2x Combine like terms: 13 + -13 = 0 -13 + 39i + 21iy + 2x = 0 + -2x + 2x -13 + 39i + 21iy + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 -13 + 39i + 21iy + 2x = 0 The solution to this equation could not be determined.
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