Question

f) \\(\frac{1}{2}(-4 + x) = -12\\)\
h) \\(4(x + 3) = 4x + 12\\)

Explanation:

Step1 (for f)): Multiply both sides by 2

$2 \times \frac{1}{2}(-4 + x) = 2 \times (-12)$
$-4 + x = -24$

Step2 (for f)): Add 4 to both sides

$x = -24 + 4$
$x = -20$

Step1 (for h)): Expand left side

$4x + 12 = 4x + 12$

Step2 (for h)): Simplify equation

Subtract $4x$ from both sides: $12 = 12$
This is always true, so all real numbers are solutions.

Answer:

• For f): $x = -20$
• For h): All real numbers