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Step-by-step guide on simplifying algebraic expressions with an example.

A math educational slide titled "Simplifying Expressions" showing steps to simplify the algebraic expression 8x + 4 + 3(2x - 3) into 14x - 5.

A math educational slide titled "Simplifying Expressions" showing steps to simplify the algebraic expression 8x + 4 + 3(2x - 3) into 14x - 5.

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Show Answer Key & Explanations Step-by-step solution for: Simplifying Expressions - Algebra - GCSE Maths - Steps, Examples ...
I can see this is an example showing how to simplify the algebraic expression 8x + 4 + 3(2x - 3).

Let me work through this step by step to verify the solution:

Step 1: Expand the brackets
- We have 3(2x - 3)
- Multiply 3 by each term inside the brackets:
- 3 × 2x = 6x
- 3 × (-3) = -9
- So 3(2x - 3) = 6x - 9

Now the expression becomes:
8x + 4 + 6x - 9

Step 2: Collect like terms
- Group the x terms together: 8x + 6x = 14x
- Group the constant numbers together: 4 - 9 = -5

So we get: 14x - 5

Let me double-check my calculations:
- 8x + 6x = 14x ✓
- 4 - 9 = -5 ✓

The answer matches what's shown in the image.

Final Answer: 14x - 5
Parent Tip: Review the logic above to help your child master the concept of simplify the expression worksheet.
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