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Answer :
To simplify the expression by combining like terms, follow these steps:
1. Identify like terms: In the expression [tex]\(14.1x + 39.1 - 18.4x - 18.5\)[/tex], notice that:
- [tex]\(14.1x\)[/tex] and [tex]\(-18.4x\)[/tex] are like terms because they both involve the variable [tex]\(x\)[/tex].
- [tex]\(39.1\)[/tex] and [tex]\(-18.5\)[/tex] are like terms because they are both constant numbers (without variables).
2. Combine the like terms with [tex]\(x\)[/tex]:
- [tex]\(14.1x - 18.4x = (14.1 - 18.4)x = -4.3x\)[/tex]
3. Combine the constant terms:
- [tex]\(39.1 - 18.5 = 20.6\)[/tex]
4. Write the simplified expression:
- After combining the like terms, the expression simplifies to [tex]\(-4.3x + 20.6\)[/tex].
Therefore, the simplified expression is [tex]\(-4.3x + 20.6\)[/tex].
1. Identify like terms: In the expression [tex]\(14.1x + 39.1 - 18.4x - 18.5\)[/tex], notice that:
- [tex]\(14.1x\)[/tex] and [tex]\(-18.4x\)[/tex] are like terms because they both involve the variable [tex]\(x\)[/tex].
- [tex]\(39.1\)[/tex] and [tex]\(-18.5\)[/tex] are like terms because they are both constant numbers (without variables).
2. Combine the like terms with [tex]\(x\)[/tex]:
- [tex]\(14.1x - 18.4x = (14.1 - 18.4)x = -4.3x\)[/tex]
3. Combine the constant terms:
- [tex]\(39.1 - 18.5 = 20.6\)[/tex]
4. Write the simplified expression:
- After combining the like terms, the expression simplifies to [tex]\(-4.3x + 20.6\)[/tex].
Therefore, the simplified expression is [tex]\(-4.3x + 20.6\)[/tex].
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