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Simplifying 0.2(x + 2) + 0.3x = 2.79 Reorder the terms: 0.2(2 + x) + 0.3x = 2.79 (2 * 0.2 + x * 0.2) + 0.3x = 2.79 (0.4 + 0.2x) + 0.3x = 2.79 Combine like terms: 0.2x + 0.3x = 0.5x 0.4 + 0.5x = 2.79 Solving 0.4 + 0.5x = 2.79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + 0.5x = 2.79 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.5x = 2.79 + -0.4 0.5x = 2.79 + -0.4 Combine like terms: 2.79 + -0.4 = 2.39 0.5x = 2.39 Divide each side by '0.5'. x = 4.78 Simplifying x = 4.78
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