To simplify the expression \((2x - 1) - 3.25(x + 3)\), we can follow these steps:
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Distribute \(-3.25\) to each term inside the parentheses: \[ -3.25(x + 3) = -3.25x - 3.25 \cdot 3 \] \[ = -3.25x - 9.75 \]
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Now, substitute this back into the expression: \[ (2x - 1) - (3.25x + 9.75) \]
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Combine like terms: \[ = 2x - 1 - 3.25x - 9.75 \] \[ = (2x - 3.25x) + (-1 - 9.75) \] \[ = -1.25x - 10.75 \]
The equivalent expression for \((2x - 1) - 3.25(x + 3)\) is: \[ -1.25x - 10.75 \]
Other equivalent forms can be derived from this result, such as:
- Factored forms, e.g., \(-1.25(x + 8.6)\) (if we factor out \(-1.25\)).
- Expressing it in decimal or fraction form, as \(-\frac{5}{4}x - \frac{43}{4}\).
Thus, the simplified equivalent expression is: \[ -1.25x - 10.75 \] or in fraction form: \[ -\frac{5}{4}x - \frac{43}{4} \]
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