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Simplifying 6x + -2y + z = 10 Solving 6x + -2y + z = 10 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 + z = 10 + 2y Combine like terms: -2y + 2y = 0 6x + 0 + z = 10 + 2y 6x + z = 10 + 2y Add '-1z' to each side of the equation. 6x + z + -1z = 10 + 2y + -1z Combine like terms: z + -1z = 0 6x + 0 = 10 + 2y + -1z 6x = 10 + 2y + -1z Divide each side by '6'. x = 1.666666667 + 0.3333333333y + -0.1666666667z Simplifying x = 1.666666667 + 0.3333333333y + -0.1666666667z
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