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Simplifying 6x + 4y + -1z = 1 Solving 6x + 4y + -1z = 1 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. 6x + 4y + -4y + -1z = 1 + -4y Combine like terms: 4y + -4y = 0 6x + 0 + -1z = 1 + -4y 6x + -1z = 1 + -4y Add 'z' to each side of the equation. 6x + -1z + z = 1 + -4y + z Combine like terms: -1z + z = 0 6x + 0 = 1 + -4y + z 6x = 1 + -4y + z Divide each side by '6'. x = 0.1666666667 + -0.6666666667y + 0.1666666667z Simplifying x = 0.1666666667 + -0.6666666667y + 0.1666666667z
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