By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

<h3>How to solve an algebraic equation</h3>

In this question we have an equation that can be solved by <em>algebraic</em> definitions and theorems, whose objective consists in clearing the variable x. Now we proceed to solve the equation for x:

- 10 · x + 1 + 7 · x = 37 Given
(- 10 · x + 7 · x) + 1 = 37 Associative property
-3 · x + 1 = 37 Distributive property/Definition of subtraction
- 3 · x = 36 Compatibility with addition/Definition of subtraction
x = 12 Compatibility with multiplication/a/(-b) = -a/b/Definition of division/Result

By the knowledge and application of <em>algebraic</em> definitions and theorems, we find that the expression - 10 · x + 1 + 7 · x = 37 has a solution of x = 12. (Correct choice: C)

To learn more on linear equations: brainly.com/question/2263981

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