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Simplifying 2x + 5j(x + y) = 5x + -1j(y + 3) + 2 2x + (x * 5j + y * 5j) = 5x + -1j(y + 3) + 2 2x + (5jx + 5jy) = 5x + -1j(y + 3) + 2 Reorder the terms: 5jx + 5jy + 2x = 5x + -1j(y + 3) + 2 Reorder the terms: 5jx + 5jy + 2x = 5x + -1j(3 + y) + 2 5jx + 5jy + 2x = 5x + (3 * -1j + y * -1j) + 2 5jx + 5jy + 2x = 5x + (-3j + -1jy) + 2 Reorder the terms: 5jx + 5jy + 2x = 2 + -3j + -1jy + 5x Solving 5jx + 5jy + 2x = 2 + -3j + -1jy + 5x Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3j' to each side of the equation. 5jx + 5jy + 3j + 2x = 2 + -3j + -1jy + 3j + 5x Reorder the terms: 3j + 5jx + 5jy + 2x = 2 + -3j + -1jy + 3j + 5x Reorder the terms: 3j + 5jx + 5jy + 2x = 2 + -3j + 3j + -1jy + 5x Combine like terms: -3j + 3j = 0 3j + 5jx + 5jy + 2x = 2 + 0 + -1jy + 5x 3j + 5jx + 5jy + 2x = 2 + -1jy + 5x Add 'jy' to each side of the equation. 3j + 5jx + 5jy + jy + 2x = 2 + -1jy + jy + 5x Combine like terms: 5jy + jy = 6jy 3j + 5jx + 6jy + 2x = 2 + -1jy + jy + 5x Combine like terms: -1jy + jy = 0 3j + 5jx + 6jy + 2x = 2 + 0 + 5x 3j + 5jx + 6jy + 2x = 2 + 5x Add '-2x' to each side of the equation. 3j + 5jx + 6jy + 2x + -2x = 2 + 5x + -2x Combine like terms: 2x + -2x = 0 3j + 5jx + 6jy + 0 = 2 + 5x + -2x 3j + 5jx + 6jy = 2 + 5x + -2x Combine like terms: 5x + -2x = 3x 3j + 5jx + 6jy = 2 + 3x Reorder the terms: -2 + 3j + 5jx + 6jy + -3x = 2 + 3x + -2 + -3x Reorder the terms: -2 + 3j + 5jx + 6jy + -3x = 2 + -2 + 3x + -3x Combine like terms: 2 + -2 = 0 -2 + 3j + 5jx + 6jy + -3x = 0 + 3x + -3x -2 + 3j + 5jx + 6jy + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 3j + 5jx + 6jy + -3x = 0 The solution to this equation could not be determined.
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