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Simplifying 7x + 5(1x + -1j) = -5 + 12x Reorder the terms: 7x + 5(-1j + 1x) = -5 + 12x 7x + (-1j * 5 + 1x * 5) = -5 + 12x 7x + (-5j + 5x) = -5 + 12x Reorder the terms: -5j + 7x + 5x = -5 + 12x Combine like terms: 7x + 5x = 12x -5j + 12x = -5 + 12x Add '-12x' to each side of the equation. -5j + 12x + -12x = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 -5j + 0 = -5 + 12x + -12x -5j = -5 + 12x + -12x Combine like terms: 12x + -12x = 0 -5j = -5 + 0 -5j = -5 Solving -5j = -5 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Divide each side by '-5'. j = 1 Simplifying j = 1
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