
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Modify the original problem by changing the constant term and slightly altering the linear coefficient: Solve for \( 49x^2 + 70x - 121 = 0 \) by rewriting it in the form \( (ax + b)^2 = c \) where \( a \), \( b \), and \( c \) are integers and \( a > 0 \). What is the value of \( a + b + c \)?

Present the answer in LaTex format: \boxed{Your answer}
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