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\left(4-7x\right)\left(4+7x\right)
Rewrite 16-49x^{2} as 4^{2}-\left(7x\right)^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
\left(-7x+4\right)\left(7x+4\right)
Reorder the terms.