Your post states no facts that would cause your termination to be determined to be unlawful. Employers have the right to terminate any employee for any reason -- or even no reason -- so long as prohibited bias is not the underlying reason.
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Texas is a right to work state. Typically, unless an employee has an employment contract, or is employed under a collective bargaining agreement through a union, the employer can terminate the employ at any time with or without cause. If an employer, at any time, decides they no longer want to employ someone, for any non-discriminatory reason, that employee can legally be terminated. However, an employer generally cannot terminate an employee for prohibited discriminatory reasons, or in retaliation for certain actions (such as filing an FMLA claim). Terminating an employee for moonlighting is not considered discriminatory.
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