Question: Solve for x:
$-(-5.2x + 6) - 6.2x = -1$
1. **State the problem:** Solve the equation $$-(-5.2x + 6) - 6.2x = -1$$ for $$x$$.
2. **Apply the distributive property:** Remove the parentheses by distributing the negative sign:
$$-(-5.2x + 6) = 5.2x - 6$$
So the equation becomes:
$$5.2x - 6 - 6.2x = -1$$
3. **Combine like terms:** Combine the $$x$$ terms:
$$5.2x - 6.2x = (5.2 - 6.2)x = -1.0x = -x$$
So the equation is now:
$$-x - 6 = -1$$
4. **Isolate the variable term:** Add $$6$$ to both sides:
$$-x - 6 + 6 = -1 + 6$$
$$-x = 5$$
5. **Solve for $$x$$:** Multiply both sides by $$-1$$ to get rid of the negative sign:
$$\cancel{-1} \times -x = \cancel{-1} \times 5$$
$$x = -5$$
**Final answer:** $$x = -5$$