Let's simplify the expression step by step:

### Expression:
\[
30st + 3s \times (-7t) - 4t \times 2s
\]

1. **Apply multiplication**:
   \[
   3s \times (-7t) = -21st
   \]
   \[
   -4t \times 2s = -8st
   \]

2. **Substitute the results back** into the original expression:
   \[
   30st - 21st - 8st
   \]

3. **Combine like terms**:
   All terms contain \( st \), so we can add or subtract their coefficients:
   \[
   30st - 21st - 8st = (30 - 21 - 8)st = 1st
   \]

So, the simplified expression is:
\[
st
\]

### Final answer:
\[
st
\]

Would you like further details or have any questions? Here are some related questions for further practice:

1. Simplify: \( 5ab + 3a \times (-4b) - 2b \times 6a \).
2. Simplify: \( 10xy - 2x \times (-5y) + 3x \times y \).
3. Simplify: \( 8pq + 4p \times (-3q) - 5q \times 2p \).
4. Factor: \( 12xy - 4x \times y + 3xy \).
5. Simplify: \( 7st + 2s \times (-3t) - 5t \times s \).

**Tip:** When simplifying expressions, always perform multiplication first before combining like terms!

Learn how to simplify the algebraic expression 30st + 3s x (-7t) - 4t x 2s step-by-step. This example covers multiplication of terms, applying properties of operations, and combining like terms. Suitable for students in Grades 7-9.

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