Problem 81
Question
Simplify each algebraic expression. $$13-(-7 x)+4 x-(-11)$$
Step-by-Step Solution
Verified Answer
The simplified form of the algebraic expression \(13-(-7x)+4x-(-11)\) is \(24 + 11x\).
1Step 1: Identify Constants and Variables
In the expression \(13-(-7x)+4x-(-11)\), 13 and 11 are constants, whereas -7x and 4x are variables.
2Step 2: Simplify Negative Signs
The negative sign before a negative number or variable flips the sign, so that changes the expression to \(13 +7x +4x +11\).
3Step 3: Simplify Constants
Simplify/Group the constants together. 13+11 becomes 24.
4Step 4: Simplify Variables
Simplify/Group the variables. 7x + 4x simplifies to 11x.
5Step 5: Final Simplification
Finally, combine the simplified constants and variables, which gives us the simplest form of the expression as \(24 + 11x\).
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Problem 80
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