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Simplifying 0.333(2x + -12) = 0.333x + -2 Reorder the terms: 0.333(-12 + 2x) = 0.333x + -2 (-12 * 0.333 + 2x * 0.333) = 0.333x + -2 (-3.996 + 0.666x) = 0.333x + -2 Reorder the terms: -3.996 + 0.666x = -2 + 0.333x Solving -3.996 + 0.666x = -2 + 0.333x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.333x' to each side of the equation. -3.996 + 0.666x + -0.333x = -2 + 0.333x + -0.333x Combine like terms: 0.666x + -0.333x = 0.333x -3.996 + 0.333x = -2 + 0.333x + -0.333x Combine like terms: 0.333x + -0.333x = 0.000 -3.996 + 0.333x = -2 + 0.000 -3.996 + 0.333x = -2 Add '3.996' to each side of the equation. -3.996 + 3.996 + 0.333x = -2 + 3.996 Combine like terms: -3.996 + 3.996 = 0.000 0.000 + 0.333x = -2 + 3.996 0.333x = -2 + 3.996 Combine like terms: -2 + 3.996 = 1.996 0.333x = 1.996 Divide each side by '0.333'. x = 5.993993994 Simplifying x = 5.993993994
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