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Given that the two adjacent angles are inside a 90° angle, we can write the equation: (x+4)° + (3x+2)° = 90°
Combining like terms: 4x + 6° = 90°
Subtracting 6° from both sides: 4x = 84°
Dividing both sides by 4: x = 21°
Therefore, x is equal to 21. Answer: \boxed{21}.