Let's solve the equation step by step:

Given equation:
\[
-5(-2x - 5) + 4x + 5 = 44
\]

### Step 1: Distribute the \(-5\) through the parentheses.
\[
-5(-2x) - 5(-5) = 10x + 25
\]
So, the equation becomes:
\[
10x + 25 + 4x + 5 = 44
\]

### Step 2: Combine like terms on the left-hand side.
\[
(10x + 4x) + (25 + 5) = 14x + 30
\]
The equation is now:
\[
14x + 30 = 44
\]

### Step 3: Subtract 30 from both sides to isolate terms with \(x\).
\[
14x = 44 - 30
\]
\[
14x = 14
\]

### Step 4: Divide both sides by 14 to solve for \(x\).
\[
x = \frac{14}{14} = 1
\]

So, the solution is:
\[
x = 1
\]

Would you like further clarification on any part of this solution?

Here are 5 related questions for practice:
1. Solve: \(3(2x + 4) - 7x = 15\)
2. Solve: \(8x - 6(2x + 1) = 5\)
3. Solve: \(4(3x + 5) - 2x = 18\)
4. Solve: \(-3(4x - 7) + 9x = 30\)
5. Solve: \(7x + 2(5 - 3x) = 14\)

**Tip:** Always perform distribution carefully, and keep track of negative signs when solving equations.

Learn how to solve the linear equation −5(−2x−5)+4x+5=44 with a detailed, step-by-step solution. This problem demonstrates the use of the distributive property and combining like terms, suitable for students in Grades 7-9.

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