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Chapter 1: Problem 52

Simplify each algebraic expression. $$7+(x+10)$$

Short Answer

Expert verified
The simplified form of this algebraic expression is \(x + 17\).

Step by step solution

01

Identify the expression within the brackets

Here we see that the algebraic expression contains a bracket that includes \(x + 10\). This simplification mostly requires dealing with the brackets by applying the rule of parentheses elimination.
02

Remove the parentheses

There are no coefficients in front of \(x + 10\). Therefore, to remove the parentheses, simply rewrite the expression without the parentheses: \(7 + x + 10\).
03

Combine like terms

After removing the parentheses, combine the constants 7 and 10: \(7 + 10 = 17\). So, our final expression becomes \(17 + x\) or \(x + 17\). Note that in algebra, writing the variable before the constant is more common.

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