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Simplifying 4 + (x + 2) * i = x + 2i Reorder the terms: 4 + (2 + x) * i = x + 2i Reorder the terms for easier multiplication: 4 + i(2 + x) = x + 2i 4 + (2 * i + x * i) = x + 2i 4 + (2i + ix) = x + 2i Reorder the terms: 4 + 2i + ix = 2i + x Add '-2i' to each side of the equation. 4 + 2i + -2i + ix = 2i + -2i + x Combine like terms: 2i + -2i = 0 4 + 0 + ix = 2i + -2i + x 4 + ix = 2i + -2i + x Combine like terms: 2i + -2i = 0 4 + ix = 0 + x 4 + ix = x Solving 4 + ix = x Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + ix = -4 + x Combine like terms: 4 + -4 = 0 0 + ix = -4 + x ix = -4 + x Divide each side by 'x'. i = -4x-1 + 1 Simplifying i = -4x-1 + 1 Reorder the terms: i = 1 + -4x-1
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