Solve using the multiplication principle. Don't forget to check. \( -6 x=-216 \)

We start with the equation:   –6x = –216 The multiplication principle tells us that if a nonzero number multiplies x, we can “undo” the multiplication by multiplying by its reciprocal. Here, the coefficient of x is –6, and its reciprocal is –1/6. Step 1. Multiply both sides of the equation by –1/6:   (–1/6)(–6x) = (–1/6)(–216) Step 2. Simplify the left side:   (–1/6)(–6) = 1, so we have:   x = (–1/6)(–216) Step 3. Multiply the right side:   (–1/6)(–216) = 216/6 = 36 Thus, the solution is:   x = 36 Check:   Substitute x = 36 into the original equation:   –6(36) = –216   –216 = –216 The check confirms the solution is correct.