The problem asks us to find the expression that is equivalent to the given expression $5x + 6x$.

AlgebraAlgebraic ExpressionsSimplificationCombining Like Terms
2025/5/31

1. Problem Description

The problem asks us to find the expression that is equivalent to the given expression 5x+6x5x + 6x.

2. Solution Steps

We can simplify the given expression by combining like terms:
5x+6x5x + 6x
Since both terms have the same variable xx, we can add their coefficients:
5+6=115 + 6 = 11
So, 5x+6x=11x5x + 6x = 11x.
Now, let's check the options:
* 6x+6x=12x6x + 6x = 12x
* x+9x=1x+9x=10xx + 9x = 1x + 9x = 10x
* x11=11xx \cdot 11 = 11x
* x11x^{11} is not a linear term and hence, not equivalent.
Thus, 5x+6x=11x5x + 6x = 11x is equivalent to x11=11xx \cdot 11 = 11x.

3. Final Answer

x11x \cdot 11

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