Simplify 5.5+7((6.3+2.1)*4+(10-4)÷2)

$5.5 + 7 ((6.3 + 2.1) \cdot 4 + (10 - 4) \div 2)$

Simplify each term.

Subtract $4$ from $10$ .

$5.5 + 7 ((6.3 + 2.1) \cdot 4 + 6 \div 2)$

Simplify each term.

Add $6.3$ and $2.1$ .

$5.5 + 7 (8.4 \cdot 4 + 6 \div 2)$

Multiply $8.4$ by $4$ .

$5.5 + 7 (33.6 + 6 \div 2)$

Divide $6$ by $2$ .

$5.5 + 7 (33.6 + 3)$

$5.5 + 7 (33.6 + 3)$

Add $33.6$ and $3$ .

$5.5 + 7 \cdot 36.6$

Multiply $7$ by $36.6$ .

$5.5 + 256.2$

$5.5 + 256.2$

Add $5.5$ and $256.2$ .

$261.7$

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