Pregunta
1. Combine like terms: \( (9 m+5 x)+(3+9 m)+(-3 x-2) \)
Ask by Bartlett Wright. in the United States
Jan 23,2025
Solución de tutoría real
Respuesta verificada por el tutor
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Combine like terms to get \(18m + 2x + 1\).
Solución
To combine like terms in the expression \((9m + 5x) + (3 + 9m) + (-3x - 2)\), follow these steps:
1. **Remove the parentheses:**
\[
9m + 5x + 3 + 9m - 3x - 2
\]
2. **Group like terms:**
- **\(m\) terms:** \(9m + 9m = 18m\)
- **\(x\) terms:** \(5x - 3x = 2x\)
- **Constant terms:** \(3 - 2 = 1\)
3. **Combine them into the final expression:**
\[
18m + 2x + 1
\]
**Final Answer:**
\[
18m + 2x + 1
\]
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Mind Expander
To simplify the expression, first, collect all the like terms together. The terms involving \(m\) are \(9m\) and another \(9m\), which combine to \(18m\). The terms involving \(x\) are \(5x\) and \(-3x\), which combine to \(2x\). Finally, for the constant terms, we have \(3\) and \(-2\), which combine to \(1\). So, we have: \( (9m + 5x) + (3 + 9m) + (-3x - 2) = 18m + 2x + 1 \)
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