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Simplifying -7 + 3i + x = 10 + -2i Solving -7 + 3i + x = 10 + -2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2i' to each side of the equation. -7 + 3i + 2i + x = 10 + -2i + 2i Combine like terms: 3i + 2i = 5i -7 + 5i + x = 10 + -2i + 2i Combine like terms: -2i + 2i = 0 -7 + 5i + x = 10 + 0 -7 + 5i + x = 10 Add '7' to each side of the equation. -7 + 5i + 7 + x = 10 + 7 Reorder the terms: -7 + 7 + 5i + x = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 5i + x = 10 + 7 5i + x = 10 + 7 Combine like terms: 10 + 7 = 17 5i + x = 17 Add '-1x' to each side of the equation. 5i + x + -1x = 17 + -1x Combine like terms: x + -1x = 0 5i + 0 = 17 + -1x 5i = 17 + -1x Divide each side by '5'. i = 3.4 + -0.2x Simplifying i = 3.4 + -0.2x
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