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Simplifying 11y + -7z + 8x + 2y + 9z + -5x = 0 Reorder the terms: 8x + -5x + 11y + 2y + -7z + 9z = 0 Combine like terms: 8x + -5x = 3x 3x + 11y + 2y + -7z + 9z = 0 Combine like terms: 11y + 2y = 13y 3x + 13y + -7z + 9z = 0 Combine like terms: -7z + 9z = 2z 3x + 13y + 2z = 0 Solving 3x + 13y + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13y' to each side of the equation. 3x + 13y + -13y + 2z = 0 + -13y Combine like terms: 13y + -13y = 0 3x + 0 + 2z = 0 + -13y 3x + 2z = 0 + -13y Remove the zero: 3x + 2z = -13y Add '-2z' to each side of the equation. 3x + 2z + -2z = -13y + -2z Combine like terms: 2z + -2z = 0 3x + 0 = -13y + -2z 3x = -13y + -2z Divide each side by '3'. x = -4.333333333y + -0.6666666667z Simplifying x = -4.333333333y + -0.6666666667z
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