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The equation that has infinitely many solutions is A. 4x + 5(2x + 6) = 14x + 30
An equation with infinitely many solutions is represented as:
ax + b = ax + b
This means that both sides of the equation must be the same.
Next, we test the options:
4x + 5(2x + 6) = 14x + 30
Open the bracket
4x + 10x + 30 = 14x + 30
Evaluate the like terms
14x + 30 = 14x + 30
Both sides of the equation must be the same.
Hence, the equation that has infinitely many solutions is A. 4x + 5(2x + 6) = 14x + 30
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