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Explain why and simplify anc 4x-3(2x+1)+7x-19 The main difference betwee

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Final answer:

To simplify the expression 4x - 3(2x + 1) + 7x - 19, you distribute, combine like terms, and then simplify to get 5x - 22.

Step-by-step explanation:

The student is asking for help with simplifying a mathematical expression. Specifically, the expression to simplify is 4x - 3(2x + 1) + 7x - 19. Simplifying an expression involves combining like terms and performing any necessary distribution. Here is how you simplify the given expression:

Distribute the -3 across the parentheses: -3 × 2x = -6x and -3 × 1 = -3.

Combine the distributed terms with the rest of the expression: 4x - 6x - 3 + 7x - 19.

Combine like terms (the terms with x) and constants: (4x - 6x + 7x) + (-3 - 19).

Simplify the like terms: (4 - 6 + 7)x = 5x and -3 - 19 = -22.

The simplified expression is thus: 5x - 22.

User Michael Johnston
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