Question
Answer
$$4x\cdot3-27x\cdot2-3x+14x\cdot3-27x\cdot2-3x+1=-60x+1$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}4x\cdot3-27x\cdot2-3x+14x\cdot3-27x\cdot2-3x+1& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} \htmlClass{explanationCircle explanationCircle3}{\textcircled {3}} \htmlClass{explanationCircle explanationCircle4}{\textcircled {4}} } }}}12x-54x-3x+42x-54x-3x+1 \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle5}{\textcircled {5}} } }}}-60x+1\end{aligned} $$ | |
| ① | $$ 4 x \cdot 3 = 12 x $$ |
| ② | $$ 27 x \cdot 2 = 54 x $$ |
| ③ | $$ 14 x \cdot 3 = 42 x $$ |
| ④ | $$ 27 x \cdot 2 = 54 x $$ |
| ⑤ | Combine like terms: $$ \color{blue}{12x} \color{red}{-54x} \color{green}{-3x} + \color{orange}{42x} \color{blue}{-54x} \color{blue}{-3x} +1 = \color{blue}{-60x} +1 $$ |
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