Question
$$4(x+\frac{1}{4}) = -15$$
Answer
$$ x = -4 $$
Explanation
$$ \begin{aligned} 4(x+\frac{1}{4}) &= -15&& \text{simplify left side} \\[1 em]4 \cdot \frac{4x+1}{4} &= -15&& \\[1 em]4x+1 &= -15&& \text{ move 1 to the right } \\[1 em]4x &= -15-1&& \\[1 em]4x &= -16&& \text{ divide both sides by $ 4 $ } \\[1 em]x &= -\frac{16}{4}&& \\[1 em]x &= -4&& \\[1 em] \end{aligned} $$
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