1. **State the problem:** Simplify the expression $$0.7(-6x + 7x + 6) - 0.7x$$. 2. **Apply the distributive property:** Multiply 0.7 by each term inside the parentheses. $$0.7(-6x) + 0.7(7x) + 0.7(6) - 0.7x$$ 3. **Calculate each multiplication:** $$-4.2x + 4.9x + 4.2 - 0.7x$$ 4. **Combine like terms (the terms with $x$):** $$(-4.2x + 4.9x) - 0.7x + 4.2$$ $$0.7x - 0.7x + 4.2$$ 5. **Simplify the $x$ terms:** $$\cancel{0.7x} - \cancel{0.7x} + 4.2 = 4.2$$ 6. **Final answer:** $$4.2$$