Algebra Practice Test

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What is the combined total of coefficients in the expression 3(x + 2) + 4(x - 5)?

The correct answer is: 11

To find the combined total of coefficients in the expression 3(x + 2) + 4(x - 5), we first need to simplify the expression. Start by distributing the constants to the terms inside the parentheses: 1. For the first part, distribute 3: - 3(x + 2) = 3x + 6. 2. For the second part, distribute 4: - 4(x - 5) = 4x - 20. Now combine these results: 3x + 6 + 4x - 20. Next, combine like terms. The x terms can be added together, and the constant terms can be combined as well: - The x terms: 3x + 4x = 7x. - The constants: 6 - 20 = -14. So, we can rewrite the entire expression as: 7x - 14. Now, the combined total of coefficients refers specifically to the numerical coefficients of the terms. In our simplified expression, the coefficient of the x term is 7, and the coefficient of the constant term (which is -14) is not included when summing coefficients in this context. So: 7 + (-