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Simplifying X + -5 + 7i = 4(2 + 2i) Reorder the terms: -5 + X + 7i = 4(2 + 2i) -5 + X + 7i = (2 * 4 + 2i * 4) -5 + X + 7i = (8 + 8i) Solving -5 + X + 7i = 8 + 8i Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + X + 5 + 7i = 8 + 5 + 8i Reorder the terms: -5 + 5 + X + 7i = 8 + 5 + 8i Combine like terms: -5 + 5 = 0 0 + X + 7i = 8 + 5 + 8i X + 7i = 8 + 5 + 8i Combine like terms: 8 + 5 = 13 X + 7i = 13 + 8i Add '-7i' to each side of the equation. X + 7i + -7i = 13 + 8i + -7i Combine like terms: 7i + -7i = 0 X + 0 = 13 + 8i + -7i X = 13 + 8i + -7i Combine like terms: 8i + -7i = 1i X = 13 + 1i Simplifying X = 13 + 1i
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