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Simplifying 0.2(3x + 4) + 0.5x = 2.1 Reorder the terms: 0.2(4 + 3x) + 0.5x = 2.1 (4 * 0.2 + 3x * 0.2) + 0.5x = 2.1 (0.8 + 0.6x) + 0.5x = 2.1 Combine like terms: 0.6x + 0.5x = 1.1x 0.8 + 1.1x = 2.1 Solving 0.8 + 1.1x = 2.1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.8' to each side of the equation. 0.8 + -0.8 + 1.1x = 2.1 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 1.1x = 2.1 + -0.8 1.1x = 2.1 + -0.8 Combine like terms: 2.1 + -0.8 = 1.3 1.1x = 1.3 Divide each side by '1.1'. x = 1.181818182 Simplifying x = 1.181818182
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