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Multiple Choice
Use the distributive property to simplify the expression. (B)
A
4.8x−1.5
B
−8x+1.5
C
−4.8x+1.5
D
8x+1.5
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Verified step by step guidance
1
Identify the expression to simplify: \$0.6\left(-8x + 2.5\right)$.
Apply the distributive property, which means multiplying \$0.6\( by each term inside the parentheses separately: \)0.6 \times (-8x)\( and \)0.6 \times 2.5$.
Calculate each multiplication step without combining yet: \$0.6 \times (-8x) = (0.6 \times -8) x\( and \)0.6 \times 2.5 = 0.6 \times 2.5$.
Simplify the coefficients from the multiplications: multiply \$0.6\( by \)-8\( to get the coefficient for \)x\(, and multiply \)0.6\( by \)2.5$ for the constant term.
Write the simplified expression by combining the results from the previous step: the term with \(x\) and the constant term, keeping the correct signs.