Answer:
Box 1: [tex](\frac{1}{6})(30x)+(\frac{1}{6})(24)-(\frac{1}{7})(63)-(\frac{1}{7})(-7x)[/tex]
Box 2: [tex]5x + 4 - 9 + x[/tex]
Box 3: [tex]5x + x + 4 - 9[/tex]
Box 4: [tex]6x - 5[/tex]
Step-by-step explanation:
See attachment for complete question.
Given
[tex]\frac{1}{6}(30x+24)-\frac{1}{7}(63 - 7x)[/tex]
Required
Fill in the boxes
[tex]\frac{1}{6}(30x+24)-\frac{1}{7}(63 - 7x)[/tex]
Box 1: We need to open the brackets.
This gives:
[tex](\frac{1}{6})(30x)+(\frac{1}{6})(24)-(\frac{1}{7})(63)-(\frac{1}{7})(-7x)[/tex]
Box 2: Simplify individual bracket.
This gives:
[tex]5x + 4 - 9 + x[/tex]
Box 3: Collect Like Terms
This gives
[tex]5x + x + 4 - 9[/tex]
Box 4: Perform operations on like terms
[tex]6x - 5[/tex]
The boxes will be filled in the following order:
Box 1: [tex](\frac{1}{6})(30x)+(\frac{1}{6})(24)-(\frac{1}{7})(63)-(\frac{1}{7})(-7x)[/tex]
Box 2: [tex]5x + 4 - 9 + x[/tex]
Box 3: [tex]5x + x + 4 - 9[/tex]
Box 4: [tex]6x - 5[/tex]
