Question

1. $-11 + x + (-48) = 25$
2. solve: if twice a number is decreased by 13 the result is 9. what is the number.

Explanation:

Step1: Solve equation 4: Simplify constants

Combine the constant terms on the left.
$-11 + (-48) = -59$, so the equation becomes:
$x - 59 = 25$

Step2: Isolate $x$ for equation 4

Add 59 to both sides.
$x = 25 + 59$
$x = 84$

Step3: Define variable for problem 5

Let the number be $x$. Translate the word problem to an equation:
Twice the number minus 13 equals 9:
$2x - 13 = 9$

Step4: Isolate the term with $x$

Add 13 to both sides.
$2x = 9 + 13$
$2x = 22$

Step5: Solve for $x$ in problem 5

Divide both sides by 2.
$x = \frac{22}{2}$
$x = 11$

Answer:

1. $x = 84$
2. $11$