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Simplifying 2x + 7 + (3 + -1y) * I = 4 + 6i Reorder the terms for easier multiplication: 2x + 7 + I(3 + -1y) = 4 + 6i 2x + 7 + (3 * I + -1y * I) = 4 + 6i 2x + 7 + (3I + -1yI) = 4 + 6i Reorder the terms: 7 + 3I + 2x + -1yI = 4 + 6i Solving 7 + 3I + 2x + -1yI = 4 + 6i Solving for variable 'I'. Move all terms containing I to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 3I + 2x + -7 + -1yI = 4 + -7 + 6i Reorder the terms: 7 + -7 + 3I + 2x + -1yI = 4 + -7 + 6i Combine like terms: 7 + -7 = 0 0 + 3I + 2x + -1yI = 4 + -7 + 6i 3I + 2x + -1yI = 4 + -7 + 6i Combine like terms: 4 + -7 = -3 3I + 2x + -1yI = -3 + 6i Add '-2x' to each side of the equation. 3I + 2x + -2x + -1yI = -3 + 6i + -2x Combine like terms: 2x + -2x = 0 3I + 0 + -1yI = -3 + 6i + -2x 3I + -1yI = -3 + 6i + -2x Reorder the terms: 3 + 3I + -6i + 2x + -1yI = -3 + 6i + -2x + 3 + -6i + 2x Reorder the terms: 3 + 3I + -6i + 2x + -1yI = -3 + 3 + 6i + -6i + -2x + 2x Combine like terms: -3 + 3 = 0 3 + 3I + -6i + 2x + -1yI = 0 + 6i + -6i + -2x + 2x 3 + 3I + -6i + 2x + -1yI = 6i + -6i + -2x + 2x Combine like terms: 6i + -6i = 0 3 + 3I + -6i + 2x + -1yI = 0 + -2x + 2x 3 + 3I + -6i + 2x + -1yI = -2x + 2x Combine like terms: -2x + 2x = 0 3 + 3I + -6i + 2x + -1yI = 0 The solution to this equation could not be determined.
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