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Simplifying 0.2x + 0.3(x + 1) = 2 Reorder the terms: 0.2x + 0.3(1 + x) = 2 0.2x + (1 * 0.3 + x * 0.3) = 2 0.2x + (0.3 + 0.3x) = 2 Reorder the terms: 0.3 + 0.2x + 0.3x = 2 Combine like terms: 0.2x + 0.3x = 0.5x 0.3 + 0.5x = 2 Solving 0.3 + 0.5x = 2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.5x = 2 + -0.3 Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.5x = 2 + -0.3 0.5x = 2 + -0.3 Combine like terms: 2 + -0.3 = 1.7 0.5x = 1.7 Divide each side by '0.5'. x = 3.4 Simplifying x = 3.4
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