# Chapter 1 - Section 1.1 - Introduction to Algebra: Variables and Mathematical Models - Exercise Set - Page 11: 72

$6(x +3) = 33$.

#### Work Step by Step

First identify the task. In this case, it is to express "the product of six and a number increased by three is thirty-three" as an equation. We are told to assume the number is "x". A method to solving this problem is to divide the given statement into sub parts and then combine each of these parts into an equation. "The product of six and a number" can be expressed as "$6x$". "increased by three" can be expressed as "$+3$". "Is equal to three" reminds us to connect the two sides with an equals sign, "$=33$". By putting these together, the answer is $6(x +3) = 33$.

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