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Simplifying 0.8x + 0.4 + 0.1x = 4.9 Reorder the terms: 0.4 + 0.8x + 0.1x = 4.9 Combine like terms: 0.8x + 0.1x = 0.9x 0.4 + 0.9x = 4.9 Solving 0.4 + 0.9x = 4.9 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 + 0.9x = 4.9 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + 0.9x = 4.9 + -0.4 0.9x = 4.9 + -0.4 Combine like terms: 4.9 + -0.4 = 4.5 0.9x = 4.5 Divide each side by '0.9'. x = 5 Simplifying x = 5
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