Let's solve the given expression step by step:

\[ 10x - 5x(6.2 \times 7) - 4 + (-5) \]

First, let's simplify inside the parentheses:
\[ 6.2 \times 7 = 43.4 \]

Now substitute this back into the expression:
\[ 10x - 5x(43.4) - 4 + (-5) \]

Next, simplify the multiplication:
\[ 5x(43.4) = 217x \]

Now the expression becomes:
\[ 10x - 217x - 4 - 5 \]

Combine like terms:
\[ 10x - 217x = -207x \]
\[ -4 - 5 = -9 \]

So the simplified expression is:
\[ -207x - 9 \]

If you have any questions or need further details, feel free to ask. Here are some additional questions you might be interested in:

1. How do I solve linear equations?
2. Can you explain the distributive property in algebra?
3. What are some tips for simplifying algebraic expressions?
4. How do I solve quadratic equations?
5. Can you help with polynomial factorization?

**Tip:** Always simplify inside parentheses first and follow the order of operations (PEMDAS/BODMAS) to avoid mistakes.

Learn how to simplify the algebraic expression 10x - 5x(6.2 × 7) - 4 + (-5) step-by-step. This problem covers key algebraic concepts, including simplifying expressions and the order of operations (PEMDAS/BODMAS). Suitable for students in Grades 7-9.

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