Simplify the expression: 5(2x + 3) - 4.

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To simplify the expression 5(2x + 3) - 4, start by distributing the 5 to both terms within the parentheses:

  1. Multiply 5 by 2x, which gives you 10x.
  1. Multiply 5 by 3, which gives you 15.

Now the expression becomes:

10x + 15 - 4.

Next, combine the constant terms, 15 and -4:

15 - 4 equals 11.

Thus, the simplified expression is:

10x + 11.

This is why the correct answer is 10x + 11, reflecting the correct application of distribution and combining like terms in the simplification process.

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