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Simplifying 9x + -1z + 6y + -7z + -13x = 0 Reorder the terms: 9x + -13x + 6y + -1z + -7z = 0 Combine like terms: 9x + -13x = -4x -4x + 6y + -1z + -7z = 0 Combine like terms: -1z + -7z = -8z -4x + 6y + -8z = 0 Solving -4x + 6y + -8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. -4x + 6y + -6y + -8z = 0 + -6y Combine like terms: 6y + -6y = 0 -4x + 0 + -8z = 0 + -6y -4x + -8z = 0 + -6y Remove the zero: -4x + -8z = -6y Add '8z' to each side of the equation. -4x + -8z + 8z = -6y + 8z Combine like terms: -8z + 8z = 0 -4x + 0 = -6y + 8z -4x = -6y + 8z Divide each side by '-4'. x = 1.5y + -2z Simplifying x = 1.5y + -2z
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