Sure, let's simplify the given algebraic expression step by step.
The given expression is:
[tex]\[ x + 7 + 2x + 3 + 2x - 5 + x - 1 + x - 4 + x - 4 \][/tex]
Step 1: Combine like terms (combine all the \( x \) terms together and all the constant terms together)
First, let's identify and combine all the \( x \) terms:
[tex]\[ x + 2x + 2x + x + x + x \][/tex]
Adding these terms together gives:
[tex]\[ (1x + 2x + 2x + 1x + 1x + 1x) = 8x \][/tex]
Next, let's combine all the constant terms:
[tex]\[ 7 + 3 - 5 - 1 - 4 - 4 \][/tex]
Adding these terms together step-by-step:
[tex]\[ 7 + 3 = 10 \][/tex]
[tex]\[ 10 - 5 = 5 \][/tex]
[tex]\[ 5 - 1 = 4 \][/tex]
[tex]\[ 4 - 4 = 0 \][/tex]
[tex]\[ 0 - 4 = -4 \][/tex]
So, the constant terms combine to \(-4\).
Step 2: Write the simplified expression
Now that we have combined all like terms, we can write the simplified expression as:
[tex]\[ 8x - 4 \][/tex]
So, the simplified form of the given expression is:
[tex]\[ 8x - 4 \][/tex]
