Question
Answer
$$x\cdot7-9x\cdot6+35x\cdot5-75x\cdot4+93x\cdot3-63x\cdot2+18x\cdot1=-x$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}x\cdot7-9x\cdot6+35x\cdot5-75x\cdot4+93x\cdot3-63x\cdot2+18x\cdot1& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}7x-54x+175x-300x+279x-126x+18x \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle6}{\textcircled {6}} } }}}-x\end{aligned} $$ | |
| ① | $$ 9 x \cdot 6 = 54 x $$ |
| ② | $$ 35 x \cdot 5 = 175 x $$ |
| ③ | $$ 75 x \cdot 4 = 300 x $$ |
| ④ | $$ 93 x \cdot 3 = 279 x $$ |
| ⑤ | $$ 63 x \cdot 2 = 126 x $$ |
| ⑥ | Combine like terms: $$ \color{blue}{7x} \color{red}{-54x} + \color{green}{175x} \color{orange}{-300x} + \color{blue}{279x} \color{red}{-126x} + \color{red}{18x} = \color{red}{-x} $$ |
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