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Answer :
To simplify the expression [tex]\(-9.2(3x - 4) + 0.7(2 + 6.3x)\)[/tex], follow these steps:
1. Distribute the [tex]\(-9.2\)[/tex] across the terms inside the first bracket:
[tex]\(-9.2 \times (3x - 4)\)[/tex]
- Multiply [tex]\( -9.2 \)[/tex] by [tex]\( 3x \)[/tex] to get [tex]\(-27.6x\)[/tex].
- Multiply [tex]\( -9.2 \)[/tex] by [tex]\(-4\)[/tex] to get [tex]\(+36.8\)[/tex].
This results in [tex]\(-27.6x + 36.8\)[/tex].
2. Distribute the [tex]\(0.7\)[/tex] across the terms inside the second bracket:
[tex]\(0.7 \times (2 + 6.3x)\)[/tex]
- Multiply [tex]\(0.7\)[/tex] by [tex]\(2\)[/tex] to get [tex]\(1.4\)[/tex].
- Multiply [tex]\(0.7\)[/tex] by [tex]\(6.3x\)[/tex] to get [tex]\(+4.41x\)[/tex].
This results in [tex]\(1.4 + 4.41x\)[/tex].
3. Combine like terms:
Combine [tex]\(-27.6x\)[/tex] with [tex]\(+4.41x\)[/tex] to get [tex]\(-23.19x\)[/tex].
Combine [tex]\(36.8\)[/tex] with [tex]\(1.4\)[/tex] to get [tex]\(+38.2\)[/tex].
The simplified expression is [tex]\(-23.19x + 38.2\)[/tex].
1. Distribute the [tex]\(-9.2\)[/tex] across the terms inside the first bracket:
[tex]\(-9.2 \times (3x - 4)\)[/tex]
- Multiply [tex]\( -9.2 \)[/tex] by [tex]\( 3x \)[/tex] to get [tex]\(-27.6x\)[/tex].
- Multiply [tex]\( -9.2 \)[/tex] by [tex]\(-4\)[/tex] to get [tex]\(+36.8\)[/tex].
This results in [tex]\(-27.6x + 36.8\)[/tex].
2. Distribute the [tex]\(0.7\)[/tex] across the terms inside the second bracket:
[tex]\(0.7 \times (2 + 6.3x)\)[/tex]
- Multiply [tex]\(0.7\)[/tex] by [tex]\(2\)[/tex] to get [tex]\(1.4\)[/tex].
- Multiply [tex]\(0.7\)[/tex] by [tex]\(6.3x\)[/tex] to get [tex]\(+4.41x\)[/tex].
This results in [tex]\(1.4 + 4.41x\)[/tex].
3. Combine like terms:
Combine [tex]\(-27.6x\)[/tex] with [tex]\(+4.41x\)[/tex] to get [tex]\(-23.19x\)[/tex].
Combine [tex]\(36.8\)[/tex] with [tex]\(1.4\)[/tex] to get [tex]\(+38.2\)[/tex].
The simplified expression is [tex]\(-23.19x + 38.2\)[/tex].
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