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Simplifying 0.2(12 + x) = 32 (12 * 0.2 + x * 0.2) = 32 (2.4 + 0.2x) = 32 Solving 2.4 + 0.2x = 32 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.4' to each side of the equation. 2.4 + -2.4 + 0.2x = 32 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 0.2x = 32 + -2.4 0.2x = 32 + -2.4 Combine like terms: 32 + -2.4 = 29.6 0.2x = 29.6 Divide each side by '0.2'. x = 148 Simplifying x = 148
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