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Simplifying x + -2 + -10 = 3x + -1i Reorder the terms: -2 + -10 + x = 3x + -1i Combine like terms: -2 + -10 = -12 -12 + x = 3x + -1i Reorder the terms: -12 + x = -1i + 3x Solving -12 + x = -1i + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -12 + x + -3x = -1i + 3x + -3x Combine like terms: x + -3x = -2x -12 + -2x = -1i + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -2x = -1i + 0 -12 + -2x = -1i Add '12' to each side of the equation. -12 + 12 + -2x = 12 + -1i Combine like terms: -12 + 12 = 0 0 + -2x = 12 + -1i -2x = 12 + -1i Divide each side by '-2'. x = -6 + 0.5i Simplifying x = -6 + 0.5i
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