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Simplifying 0.2x + 0.3x + 2 = 6 Reorder the terms: 2 + 0.2x + 0.3x = 6 Combine like terms: 0.2x + 0.3x = 0.5x 2 + 0.5x = 6 Solving 2 + 0.5x = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 0.5x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 0.5x = 6 + -2 0.5x = 6 + -2 Combine like terms: 6 + -2 = 4 0.5x = 4 Divide each side by '0.5'. x = 8 Simplifying x = 8
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