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Simplifying (x + -1y + -1z) + (5x + -3y + -7z) + (2z + -3x) = 0 Remove parenthesis around (x + -1y + -1z) x + -1y + -1z + (5x + -3y + -7z) + (2z + -3x) = 0 Remove parenthesis around (5x + -3y + -7z) x + -1y + -1z + 5x + -3y + -7z + (2z + -3x) = 0 Reorder the terms: x + -1y + -1z + 5x + -3y + -7z + (-3x + 2z) = 0 Remove parenthesis around (-3x + 2z) x + -1y + -1z + 5x + -3y + -7z + -3x + 2z = 0 Reorder the terms: x + 5x + -3x + -1y + -3y + -1z + -7z + 2z = 0 Combine like terms: x + 5x = 6x 6x + -3x + -1y + -3y + -1z + -7z + 2z = 0 Combine like terms: 6x + -3x = 3x 3x + -1y + -3y + -1z + -7z + 2z = 0 Combine like terms: -1y + -3y = -4y 3x + -4y + -1z + -7z + 2z = 0 Combine like terms: -1z + -7z = -8z 3x + -4y + -8z + 2z = 0 Combine like terms: -8z + 2z = -6z 3x + -4y + -6z = 0 Solving 3x + -4y + -6z = 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 + -6z = 0 + 4y Combine like terms: -4y + 4y = 0 3x + 0 + -6z = 0 + 4y 3x + -6z = 0 + 4y Remove the zero: 3x + -6z = 4y Add '6z' to each side of the equation. 3x + -6z + 6z = 4y + 6z Combine like terms: -6z + 6z = 0 3x + 0 = 4y + 6z 3x = 4y + 6z Divide each side by '3'. x = 1.333333333y + 2z Simplifying x = 1.333333333y + 2z
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