Решите неравенство \(2 \cdot 5^x +23^x \gt 7 \cdot 5^{x-1} + 23^{x-1}+5^{x+1}.\)

• \(x \in \left(1; +\infty\right)\)
• \(x \in \left[1; +\infty\right)\)
• \(x \in \left(-\infty; 1\right)\)
• \(x \in \left(-\infty; 1\right]\)