Simplify the given algebraic expression. \[ 2(9 x-7)+15 x \] \[ 2(9 x-7)+15 x= \]

Step 1 ：Given the algebraic expression \(2(9 x-7)+15 x\).

Step 2 ：First, distribute the 2 across the terms inside the parentheses, which means multiplying 2 by each term inside the parentheses. This results in \(18x - 14 + 15x\).

Step 3 ：Next, combine like terms, which are terms that have the same variable and exponent. In this case, the like terms are the terms with the variable x. This simplifies the expression to \(33x - 14\).

Step 4 ：Final Answer: The simplified form of the given algebraic expression is \(\boxed{33x - 14}\).