1. **State the problem:** Solve the linear equation $-10x + 6 = -4$ for $x$. 2. **Isolate the variable term:** Subtract 6 from both sides to move constants to the right side. $$-10x + 6 - 6 = -4 - 6$$ $$-10x = -10$$ 3. **Divide both sides by the coefficient of $x$ to solve for $x$:** $$x = \frac{-10}{-10}$$ 4. **Simplify the fraction:** $$x = \frac{\cancel{-10}}{\cancel{-10}} = 1$$ 5. **Final answer:** $$x = 1$$ This means the value of $x$ that satisfies the equation is 1.