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Simplifying 0.10x + 0.25(x + 2) + 0.05 + 2(x + 2) = 3.85 Reorder the terms: 0.10x + 0.25(2 + x) + 0.05 + 2(x + 2) = 3.85 0.10x + (2 * 0.25 + x * 0.25) + 0.05 + 2(x + 2) = 3.85 0.10x + (0.5 + 0.25x) + 0.05 + 2(x + 2) = 3.85 Reorder the terms: 0.10x + 0.5 + 0.25x + 0.05 + 2(2 + x) = 3.85 0.10x + 0.5 + 0.25x + 0.05 + (2 * 2 + x * 2) = 3.85 0.10x + 0.5 + 0.25x + 0.05 + (4 + 2x) = 3.85 Reorder the terms: 0.5 + 0.05 + 4 + 0.10x + 0.25x + 2x = 3.85 Combine like terms: 0.5 + 0.05 = 0.55 0.55 + 4 + 0.10x + 0.25x + 2x = 3.85 Combine like terms: 0.55 + 4 = 4.55 4.55 + 0.10x + 0.25x + 2x = 3.85 Combine like terms: 0.10x + 0.25x = 0.35x 4.55 + 0.35x + 2x = 3.85 Combine like terms: 0.35x + 2x = 2.35x 4.55 + 2.35x = 3.85 Solving 4.55 + 2.35x = 3.85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.55' to each side of the equation. 4.55 + -4.55 + 2.35x = 3.85 + -4.55 Combine like terms: 4.55 + -4.55 = 0.00 0.00 + 2.35x = 3.85 + -4.55 2.35x = 3.85 + -4.55 Combine like terms: 3.85 + -4.55 = -0.7 2.35x = -0.7 Divide each side by '2.35'. x = -0.2978723404 Simplifying x = -0.2978723404
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