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Simplifying 0.3333(12 + -6x) = 4 + -2x (12 * 0.3333 + -6x * 0.3333) = 4 + -2x (3.9996 + -1.9998x) = 4 + -2x Solving 3.9996 + -1.9998x = 4 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 3.9996 + -1.9998x + 2x = 4 + -2x + 2x Combine like terms: -1.9998x + 2x = 0.0002x 3.9996 + 0.0002x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 3.9996 + 0.0002x = 4 + 0 3.9996 + 0.0002x = 4 Add '-3.9996' to each side of the equation. 3.9996 + -3.9996 + 0.0002x = 4 + -3.9996 Combine like terms: 3.9996 + -3.9996 = 0.0000 0.0000 + 0.0002x = 4 + -3.9996 0.0002x = 4 + -3.9996 Combine like terms: 4 + -3.9996 = 0.0004 0.0002x = 0.0004 Divide each side by '0.0002'. x = 2 Simplifying x = 2
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