1. **State the problem:** Factor the linear expression $56w + 35x$. 2. **Recall the factoring rule:** To factor an expression, find the greatest common factor (GCF) of all terms and write the expression as a product of the GCF and the remaining terms. 3. **Find the GCF:** - Factors of 56: $1, 2, 4, 7, 8, 14, 28, 56$ - Factors of 35: $1, 5, 7, 35$ - The greatest common factor is $7$. 4. **Factor out the GCF:** $$56w + 35x = 7 \times 8w + 7 \times 5x$$ 5. **Write the factored form:** $$56w + 35x = 7(8w + 5x)$$ **Final answer:** $7(8w + 5x)$