Answer:the simplified expression is -3x + 30.
Step-by-step explanation:To simplify the expression 4(x + 7) - 7x + 2, we can follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. Start by distributing the 4 to the terms inside the parentheses:
4(x + 7) = 4 * x + 4 * 7 = 4x + 28.
2. Next, combine like terms:
4x + 28 - 7x + 2 = (4x - 7x) + 28 + 2 = -3x + 30.