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Simplifying z + -6(-1 + x) = 0 z + (-1 * -6 + x * -6) = 0 z + (6 + -6x) = 0 Reorder the terms: 6 + -6x + z = 0 Solving 6 + -6x + z = 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 + -6x + -6 + z = 0 + -6 Reorder the terms: 6 + -6 + -6x + z = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -6x + z = 0 + -6 -6x + z = 0 + -6 Combine like terms: 0 + -6 = -6 -6x + z = -6 Add '-1z' to each side of the equation. -6x + z + -1z = -6 + -1z Combine like terms: z + -1z = 0 -6x + 0 = -6 + -1z -6x = -6 + -1z Divide each side by '-6'. x = 1 + 0.1666666667z Simplifying x = 1 + 0.1666666667z
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