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Simplifying 0.12(x + 30) = 42 Reorder the terms: 0.12(30 + x) = 42 (30 * 0.12 + x * 0.12) = 42 (3.6 + 0.12x) = 42 Solving 3.6 + 0.12x = 42 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.6' to each side of the equation. 3.6 + -3.6 + 0.12x = 42 + -3.6 Combine like terms: 3.6 + -3.6 = 0.0 0.0 + 0.12x = 42 + -3.6 0.12x = 42 + -3.6 Combine like terms: 42 + -3.6 = 38.4 0.12x = 38.4 Divide each side by '0.12'. x = 320 Simplifying x = 320
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