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Aggregate Demand = Consumption (C) + Investment (I) + Government Spending (G) + Exports (X) - Imports (M)

Income = Consumption (C) + Savings (S) + Taxes (T)

Aggregate Demand = GDP = Income

C + S + T = C + I +G + (X - M)

so

I=S+(T-G)+(M-X)

If T is less than G you will have a budget deficit. Which would make (T-G) negative and decrease investment.

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