# Chapter 4 - Section 4.2 - Solving Systems of Linear Equations by the Substitution Method - Exercise Set - Page 302: 59

$$x = 12$$

#### Work Step by Step

We use distributive property to get rid of the parentheses: $$4(x) + 4(1) = 25 + 3(x) - 3(3)$$ Multiply: $$4x + 4 = 25 + 3x - 9$$ Group like terms on the right-hand side of the equation: $$4x+ 4 = (25 - 9) + 3x$$ Combine like terms: $$4x + 4 = 16 + 3x$$ Isolate variables to one side of the equation by subtracting $3x$ from both sides of the equation: $$x + 4 = 16$$ Subtract $4$ from both sides to solve for $x$: $$x = 12$$

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