Answer
$0.3x+6.7$
Work Step by Step
1. Expand the algebraic expression:
$0.7(x+7)-0.9(x-2)+0.5x$
=$0.7x+4.9-0.9x+1.8+0.5x$
2. Rewrite the expression:
$0.7x+4.9-0.9x+1.8+0.5x$
$=0.7x-0.9x+0.5x+4.9+1.8$
3. Use the distributive property to simplify the algebraic expression and then add/subtract:
$=0.7x-0.9x+0.5x+4.9+1.8$
$=x(0.7-0.9+0.5)+4.9+1.8$
$=x(0.3)+6.7$
$=0.3x+6.7$