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Simplifying 0.2(3 + 2x) + 1.2x = 3.2 (3 * 0.2 + 2x * 0.2) + 1.2x = 3.2 (0.6 + 0.4x) + 1.2x = 3.2 Combine like terms: 0.4x + 1.2x = 1.6x 0.6 + 1.6x = 3.2 Solving 0.6 + 1.6x = 3.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.6' to each side of the equation. 0.6 + -0.6 + 1.6x = 3.2 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 1.6x = 3.2 + -0.6 1.6x = 3.2 + -0.6 Combine like terms: 3.2 + -0.6 = 2.6 1.6x = 2.6 Divide each side by '1.6'. x = 1.625 Simplifying x = 1.625
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