Final answer:
The simplified expression in standard form for the algebraic expression (5x – 32) – (5x – 2) is – 30, after distributing the negative sign and combining like terms.
Step-by-step explanation:
To simplify the algebraic expression (5x – 32) – (5x – 2), we need to distribute the negative sign across the terms within the second set of parentheses. This changes the sign of each term inside the parentheses. The expression becomes 5x – 32 – 5x + 2. Next, we combine like terms. Since 5x and – 5x are like terms, they cancel each other out, and – 32 and + 2 can be combined to equal – 30.
Thus, the simplified expression in standard form is – 30.
The other parts of the question containing symbols or numbers, such as (102 + 72–?) or the temperature conversions, seem to be irrelevant or typos, and therefore they have not been factored into the simplification of the given algebraic expression.