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Answer :
The simplified form of the expression –9.2(8x – 4) + 0.7(2 – 6.3x) is:
–78.01x + 38.2.
To simplify the expression –9.2(8x – 4) + 0.7(2 – 6.3x), we start by applying the distributive property.
First, we distribute –9.2 to the terms inside the first parentheses:
–9.2(8x – 4) = –9.2 * 8x + –9.2 * (-4) = –73.6x + 36.8
Next, we distribute 0.7 to the terms inside the second parentheses:
0.7(2 – 6.3x) = 0.7 * 2 + 0.7 * (-6.3x) = 1.4 – 4.41x
Now, we combine the simplified terms:
–73.6x + 36.8 + 1.4 – 4.41x = –73.6x – 4.41x + 36.8 + 1.4
Finally, we combine like terms:
–73.6x – 4.41x + 36.8 + 1.4 = –78.01x + 38.2
Therefore, the simplified expression is –78.01x + 38.2.
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