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-3x\left(-1-\left(-1\right)^{3}\right)-|-7|
Calculate 5 to the power of 0 and get 1.
-3x\left(-1-\left(-1\right)\right)-|-7|
Calculate -1 to the power of 3 and get -1.
-3x\left(-1+1\right)-|-7|
The opposite of -1 is 1.
-3x\times 0-|-7|
Add -1 and 1 to get 0.
0x-|-7|
Multiply -3 and 0 to get 0.
0-|-7|
Anything times zero gives zero.
0-7
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -7 is 7.
-7
Subtract 7 from 0 to get -7.