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Simplifying 0.4x + 3(1.2x + 0.9) = 21.1 Reorder the terms: 0.4x + 3(0.9 + 1.2x) = 21.1 0.4x + (0.9 * 3 + 1.2x * 3) = 21.1 0.4x + (2.7 + 3.6x) = 21.1 Reorder the terms: 2.7 + 0.4x + 3.6x = 21.1 Combine like terms: 0.4x + 3.6x = 4x 2.7 + 4x = 21.1 Solving 2.7 + 4x = 21.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.7' to each side of the equation. 2.7 + -2.7 + 4x = 21.1 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + 4x = 21.1 + -2.7 4x = 21.1 + -2.7 Combine like terms: 21.1 + -2.7 = 18.4 4x = 18.4 Divide each side by '4'. x = 4.6 Simplifying x = 4.6
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