Write the sum or difference modeled by the algebra tiles. Then use the algebra tiles to simplify the expression.

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Solution

We will first convert the given algebra tiles to the expressions
$(x + 1 + 1 + 1 + 1 + 1 + x + 1 + 1) - (x - 1 - 1 - 1 - 1 + x) = (2 x + 7) - (2 x - 4) = 2 x - 2 x + 4 + 7 [∴ C o m m u t a t i v e p r o p e r t y] = 11$
Hence the value of expression is $11$

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