1. **Problem 1: Simplify the expression** $3x + 5x - 2 + 4$.
2. **Step 1:** Combine like terms (terms with $x$ and constant terms separately).
$$3x + 5x = 8x$$
$$-2 + 4 = 2$$
3. **Step 2:** Write the simplified expression.
$$8x + 2$$
4. **Problem 2: Solve the linear equation** $2x + 3 = 11$.
5. **Step 1:** Subtract 3 from both sides to isolate the term with $x$.
$$2x + 3 - \cancel{3} = 11 - \cancel{3}$$
$$2x = 8$$
6. **Step 2:** Divide both sides by 2 to solve for $x$.
$$\frac{2x}{\cancel{2}} = \frac{8}{\cancel{2}}$$
$$x = 4$$
This worksheet helps students practice combining like terms and solving simple linear equations step-by-step.
Algebra Basics 82Bf80
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