Question

-5.64x + 6.55 + 7.09x - 9.13

Explanation:

Step1: Combine like terms for x

To combine the terms with \( x \), we add the coefficients of \( x \). The coefficients are \( -5.64 \) and \( 7.09 \). So, \( -5.64x + 7.09x = (-5.64 + 7.09)x \). Calculating the sum of the coefficients: \( -5.64 + 7.09 = 1.45 \). Thus, the \( x \)-terms combine to \( 1.45x \).

Step2: Combine constant terms

Next, we combine the constant terms \( 6.55 \) and \( -9.13 \). So, \( 6.55 - 9.13 = -2.58 \).

Step3: Write the simplified expression

Now, we put the combined \( x \)-term and the combined constant term together. The simplified expression is \( 1.45x - 2.58 \).

Answer:

\( 1.45x - 2.58 \)