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Simplifying (2x + 7y + -4z) + -1(5x + 3y + -8z) = 0 Remove parenthesis around (2x + 7y + -4z) 2x + 7y + -4z + -1(5x + 3y + -8z) = 0 2x + 7y + -4z + (5x * -1 + 3y * -1 + -8z * -1) = 0 2x + 7y + -4z + (-5x + -3y + 8z) = 0 Reorder the terms: 2x + -5x + 7y + -3y + -4z + 8z = 0 Combine like terms: 2x + -5x = -3x -3x + 7y + -3y + -4z + 8z = 0 Combine like terms: 7y + -3y = 4y -3x + 4y + -4z + 8z = 0 Combine like terms: -4z + 8z = 4z -3x + 4y + 4z = 0 Solving -3x + 4y + 4z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. -3x + 4y + -4y + 4z = 0 + -4y Combine like terms: 4y + -4y = 0 -3x + 0 + 4z = 0 + -4y -3x + 4z = 0 + -4y Remove the zero: -3x + 4z = -4y Add '-4z' to each side of the equation. -3x + 4z + -4z = -4y + -4z Combine like terms: 4z + -4z = 0 -3x + 0 = -4y + -4z -3x = -4y + -4z Divide each side by '-3'. x = 1.333333333y + 1.333333333z Simplifying x = 1.333333333y + 1.333333333z
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