Pregunta
Simplify \( -14 x+13 x \)
Ask by Logan Peterson. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
Responder
\( -x \)
Solución
To simplify the expression \( -14x + 13x \), you can combine like terms. Both terms are "like terms" because they both contain the variable \( x \).
**Step-by-Step Simplification:**
1. **Identify the like terms:**
\[
-14x \quad \text{and} \quad +13x
\]
2. **Combine the coefficients (the numerical parts) of the like terms:**
\[
-14 + 13 = -1
\]
3. **Multiply the result by the common variable:**
\[
-1 \times x = -x
\]
**Final Simplified Expression:**
\[
-x
\]
So, \( -14x + 13x \) simplifies to \( -x \).
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Bonus Knowledge
To simplify \( -14x + 13x \), you simply combine the like terms. When you add these together, you get: \[ -14x + 13x = (-14 + 13)x = -1x \] So, the simplified expression is \(-x\). It’s always good to remember that combining like terms is a key step in simplifying any algebraic expression!
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