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Simplifying (5x + -2i) + -1(x + 4i) = 7 + -6i Reorder the terms: (-2i + 5x) + -1(x + 4i) = 7 + -6i Remove parenthesis around (-2i + 5x) -2i + 5x + -1(x + 4i) = 7 + -6i Reorder the terms: -2i + 5x + -1(4i + x) = 7 + -6i -2i + 5x + (4i * -1 + x * -1) = 7 + -6i -2i + 5x + (-4i + -1x) = 7 + -6i Reorder the terms: -2i + -4i + 5x + -1x = 7 + -6i Combine like terms: -2i + -4i = -6i -6i + 5x + -1x = 7 + -6i Combine like terms: 5x + -1x = 4x -6i + 4x = 7 + -6i Add '6i' to each side of the equation. -6i + 6i + 4x = 7 + -6i + 6i Combine like terms: -6i + 6i = 0 0 + 4x = 7 + -6i + 6i 4x = 7 + -6i + 6i Combine like terms: -6i + 6i = 0 4x = 7 + 0 4x = 7 Solving 4x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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