Question $3(x+5)+2$

Studdy Solution

STEP 1

1. The expression needs to be expanded.
2. After expansion, the expression should be simplified.

STEP 2

1. Distribute the multiplication over addition inside the parentheses.
2. Simplify the resulting expression by combining like terms.

STEP 3

Distribute the $3$ across the terms inside the parentheses:
$3(x + 5) = 3 \cdot x + 3 \cdot 5$
This results in:
$3x + 15$

STEP 4

Add the constant $2$ to the expression obtained from the distribution:
$3x + 15 + 2$
Combine the constant terms:
$3x + 17$
The expanded and simplified expression is:
$\boxed{3x + 17}$

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