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