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To evaluate the expression g(b+c) for the function g(x)=-3x+1, we substitute b+c for x in the function and simplify as follows:
g(b+c) = -3(b+c) + 1 [substitute b+c for x in g(x)]
= -3b - 3c + 1 [distribute the -3]
Therefore, g(b+c) = -3b - 3c + 1.
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