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Answer :
Sure! Let's simplify the expression step-by-step:
The expression we need to simplify is:
[tex]\[ -9.2(8x - 4) + 0.7(2 + 6.3x) \][/tex]
1. Distribute -9.2 through the first parenthesis:
[tex]\[-9.2 \times 8x = -73.6x\][/tex]
[tex]\[-9.2 \times (-4) = 36.8\][/tex]
So, the first part becomes [tex]\(-73.6x + 36.8\)[/tex].
2. Distribute 0.7 through the second parenthesis:
[tex]\[0.7 \times 2 = 1.4\][/tex]
[tex]\[0.7 \times 6.3x = 4.41x\][/tex]
So, the second part becomes [tex]\(1.4 + 4.41x\)[/tex].
3. Combine like terms:
First, let's combine the terms involving [tex]\(x\)[/tex]: [tex]\(-73.6x + 4.41x\)[/tex].
[tex]\[-73.6x + 4.41x = -69.19x\][/tex]
Next, combine the constant terms: [tex]\(36.8 + 1.4\)[/tex].
[tex]\[36.8 + 1.4 = 38.2\][/tex]
So, the simplified form of the expression is:
[tex]\[ -69.19x + 38.2 \][/tex]
Therefore, the correct option is [tex]\(-69.19x + 38.2\)[/tex].
The expression we need to simplify is:
[tex]\[ -9.2(8x - 4) + 0.7(2 + 6.3x) \][/tex]
1. Distribute -9.2 through the first parenthesis:
[tex]\[-9.2 \times 8x = -73.6x\][/tex]
[tex]\[-9.2 \times (-4) = 36.8\][/tex]
So, the first part becomes [tex]\(-73.6x + 36.8\)[/tex].
2. Distribute 0.7 through the second parenthesis:
[tex]\[0.7 \times 2 = 1.4\][/tex]
[tex]\[0.7 \times 6.3x = 4.41x\][/tex]
So, the second part becomes [tex]\(1.4 + 4.41x\)[/tex].
3. Combine like terms:
First, let's combine the terms involving [tex]\(x\)[/tex]: [tex]\(-73.6x + 4.41x\)[/tex].
[tex]\[-73.6x + 4.41x = -69.19x\][/tex]
Next, combine the constant terms: [tex]\(36.8 + 1.4\)[/tex].
[tex]\[36.8 + 1.4 = 38.2\][/tex]
So, the simplified form of the expression is:
[tex]\[ -69.19x + 38.2 \][/tex]
Therefore, the correct option is [tex]\(-69.19x + 38.2\)[/tex].
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