Simplify the expression.

Question

 7(6x – 4) + 1

1. Distribute the 7 through the parentheses.

2. Combine like terms.

What is the expression in its simplest form?
42x – 28 + 7
42x – 3
42x – 28 + 1
42x – 27

Answer 1

Let's simplify the expression step by step.

1. Distribute the 7 through the parentheses:

   \( 7(6x - 4) + 1 \)

   This becomes:

   \( 7 \cdot 6x - 7 \cdot 4 + 1 \)

   Which simplifies to:

   \( 42x - 28 + 1 \)

2. Combine like terms:

   Combine the constant terms \(-28 + 1\):

   \( 42x - 28 + 1 = 42x - 27 \)

Thus, the expression in its simplest form is:

42x - 27.