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Simplifying 3x + -7 = 2x + -1i + x + 7 Reorder the terms: -7 + 3x = 2x + -1i + x + 7 Reorder the terms: -7 + 3x = 7 + -1i + 2x + x Combine like terms: 2x + x = 3x -7 + 3x = 7 + -1i + 3x Add '-3x' to each side of the equation. -7 + 3x + -3x = 7 + -1i + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 0 = 7 + -1i + 3x + -3x -7 = 7 + -1i + 3x + -3x Combine like terms: 3x + -3x = 0 -7 = 7 + -1i + 0 -7 = 7 + -1i Solving -7 = 7 + -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. -7 + i = 7 + -1i + i Combine like terms: -1i + i = 0 -7 + i = 7 + 0 -7 + i = 7 Add '7' to each side of the equation. -7 + 7 + i = 7 + 7 Combine like terms: -7 + 7 = 0 0 + i = 7 + 7 i = 7 + 7 Combine like terms: 7 + 7 = 14 i = 14 Simplifying i = 14
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