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Simplifying -1x + -3y + 4z + x + -1z + 5y + -8x + -1y = 0 Reorder the terms: -1x + x + -8x + -3y + 5y + -1y + 4z + -1z = 0 Combine like terms: -1x + x = 0 0 + -8x + -3y + 5y + -1y + 4z + -1z = 0 -8x + -3y + 5y + -1y + 4z + -1z = 0 Combine like terms: -3y + 5y = 2y -8x + 2y + -1y + 4z + -1z = 0 Combine like terms: 2y + -1y = 1y -8x + 1y + 4z + -1z = 0 Combine like terms: 4z + -1z = 3z -8x + 1y + 3z = 0 Solving -8x + 1y + 3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -8x + 1y + -1y + 3z = 0 + -1y Combine like terms: 1y + -1y = 0 -8x + 0 + 3z = 0 + -1y -8x + 3z = 0 + -1y Remove the zero: -8x + 3z = -1y Add '-3z' to each side of the equation. -8x + 3z + -3z = -1y + -3z Combine like terms: 3z + -3z = 0 -8x + 0 = -1y + -3z -8x = -1y + -3z Divide each side by '-8'. x = 0.125y + 0.375z Simplifying x = 0.125y + 0.375z
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