Final answer:
To find the value of x, distribute 61° to each term inside the parentheses, then solve the resulting equation.
Step-by-step explanation:
To find the value of x, we need to evaluate the expression 61°(2x + 9).
First, we distribute the 61° to each term inside the parentheses: 61° * 2x + 61° * 9 = 122x + 549.
Now, we have the equation 122x + 549 = 0. To solve for x, we subtract 549 from both sides: 122x = -549. Finally, we divide both sides by 122 to get x = -4.5.