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rewrite in simplest terms: $(x + 6y) + (6x + 9y)$
Step1: Remove parentheses
To simplify the expression, we first remove the parentheses. Since there are no negative signs outside the parentheses, we can directly remove them: \( (x + 6y)+(6x + 9y)=x + 6y+6x + 9y \)
Step2: Combine like terms
Next, we combine the like terms. For the \( x \)-terms, we have \( x+6x = 7x \). For the \( y \)-terms, we have \( 6y + 9y=15y \). So the simplified expression is \( 7x+15y \)
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\( 7x + 15y \)