![\"\"](\"/userfiles/image/steps_images/step1.JPG\")
The expression is 3.2(x + y) + 2.3(x + y) + 4x. \ \
\= 3.2(x) + 3.2(y) + 2.3(x) + 2.3(y) + 4x (Distributive Property: a (b + c) = ab + ac)
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= 3.2x + 3.2y + 2.3x + 2.3y + 4x (Simplify)
\= 3.2x + 2.3x + 4x + 2.3y + 3.2y (Commutative Property a + b = b + a)
\![\"\"](\"/userfiles/image/steps_images/step2.JPG\")
= (3.2x + 2.3x + 4x) + (2.3y + 3.2y)(Associative Property: (a + b) + c = a + (b + c))
\= (3.2 + 2.3 + 4)x + (2.3 + 3.2)y (Distributive property: a (b + c) = ab + ac)
\= 9.5x + 5.5y (Add: 3.2 + 2.3 +4 = 9.5 and 2.3 + 3.2 = 5.5) \ \
\![\"\"](\"/userfiles/image/steps_images/solution.JPG\")
The simplified expression is 9.5x + 5.5y.