The expressions 8x + 40 and 8(x + 5) are equivalent because both expressions have the same value at x = 6 and x = 10
The expressions are given as:
8x + 40 and 8(x + 5)
When x = 6, we have:
8x + 40 = 8 * 6 + 40
8x + 40 = 88
8(x + 5) = 8(6 + 5)
8(x + 5) = 88
When x = 10, we have:
8x + 40 = 8 * 10 + 40
8x + 40 = 120
8(x + 5) = 8(10 + 5)
8(x + 5) = 120
Notice that both expressions have the same value at x = 6 and x = 10
Hence, the expressions 8x + 40 and 8(x + 5) are equivalent
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