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Simplifying (x + -4y) + (2x + -3y) = 13 + -7i Remove parenthesis around (x + -4y) x + -4y + (2x + -3y) = 13 + -7i Remove parenthesis around (2x + -3y) x + -4y + 2x + -3y = 13 + -7i Reorder the terms: x + 2x + -4y + -3y = 13 + -7i Combine like terms: x + 2x = 3x 3x + -4y + -3y = 13 + -7i Combine like terms: -4y + -3y = -7y 3x + -7y = 13 + -7i Solving 3x + -7y = 13 + -7i Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7y' to each side of the equation. 3x + -7y + 7y = 13 + -7i + 7y Combine like terms: -7y + 7y = 0 3x + 0 = 13 + -7i + 7y 3x = 13 + -7i + 7y Divide each side by '3'. x = 4.333333333 + -2.333333333i + 2.333333333y Simplifying x = 4.333333333 + -2.333333333i + 2.333333333y
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