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Simplifying 6 + -1(-1x + y + -1z) = 0 6 + (-1x * -1 + y * -1 + -1z * -1) = 0 6 + (1x + -1y + 1z) = 0 Solving 6 + 1x + -1y + 1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 1x + -1y + -6 + 1z = 0 + -6 Reorder the terms: 6 + -6 + 1x + -1y + 1z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 1x + -1y + 1z = 0 + -6 1x + -1y + 1z = 0 + -6 Combine like terms: 0 + -6 = -6 1x + -1y + 1z = -6 Add 'y' to each side of the equation. 1x + -1y + y + 1z = -6 + y Combine like terms: -1y + y = 0 1x + 0 + 1z = -6 + y 1x + 1z = -6 + y Add '-1z' to each side of the equation. 1x + 1z + -1z = -6 + y + -1z Combine like terms: 1z + -1z = 0 1x + 0 = -6 + y + -1z 1x = -6 + y + -1z Divide each side by '1'. x = -6 + y + -1z Simplifying x = -6 + y + -1z
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