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Simplifying 6x + 2y + -1z = 7 Solving 6x + 2y + -1z = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 6x + 2y + -2y + -1z = 7 + -2y Combine like terms: 2y + -2y = 0 6x + 0 + -1z = 7 + -2y 6x + -1z = 7 + -2y Add 'z' to each side of the equation. 6x + -1z + z = 7 + -2y + z Combine like terms: -1z + z = 0 6x + 0 = 7 + -2y + z 6x = 7 + -2y + z Divide each side by '6'. x = 1.166666667 + -0.3333333333y + 0.1666666667z Simplifying x = 1.166666667 + -0.3333333333y + 0.1666666667z
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