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Simplifying 0.333(6 + x) + -5 = 12 (6 * 0.333 + x * 0.333) + -5 = 12 (1.998 + 0.333x) + -5 = 12 Reorder the terms: 1.998 + -5 + 0.333x = 12 Combine like terms: 1.998 + -5 = -3.002 -3.002 + 0.333x = 12 Solving -3.002 + 0.333x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.002' to each side of the equation. -3.002 + 3.002 + 0.333x = 12 + 3.002 Combine like terms: -3.002 + 3.002 = 0.000 0.000 + 0.333x = 12 + 3.002 0.333x = 12 + 3.002 Combine like terms: 12 + 3.002 = 15.002 0.333x = 15.002 Divide each side by '0.333'. x = 45.05105105 Simplifying x = 45.05105105
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