Final answer:
To solve the equation, distribute the -2, combine like terms, add 22 to both sides, and then divide by 15 to get x = 8.5333..., which rounds to approximately x = 8.53.
Step-by-step explanation:
To solve the equation 7x - 2(-4x + 11) = 128, we need to simplify and solve for x. First, we distribute the -2 across the parentheses to get -2 * -4x + -2 * 11, which is 8x - 22. Now we can rewrite the equation without parentheses: 7x + 8x - 22 = 128.
Next, combine like terms on the left side: 7x + 8x turns into 15x, so we have 15x - 22 = 128. To isolate x, add 22 to both sides of the equation to get 15x = 150. Finally, divide both sides by 15 to solve for x, which gives us x = 8.5333... or approximately x = 8.53 when rounded to two decimal places.