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Simplifying 0.10x + 0.25(x + 19) = 6.85 Reorder the terms: 0.10x + 0.25(19 + x) = 6.85 0.10x + (19 * 0.25 + x * 0.25) = 6.85 0.10x + (4.75 + 0.25x) = 6.85 Reorder the terms: 4.75 + 0.10x + 0.25x = 6.85 Combine like terms: 0.10x + 0.25x = 0.35x 4.75 + 0.35x = 6.85 Solving 4.75 + 0.35x = 6.85 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.75' to each side of the equation. 4.75 + -4.75 + 0.35x = 6.85 + -4.75 Combine like terms: 4.75 + -4.75 = 0.00 0.00 + 0.35x = 6.85 + -4.75 0.35x = 6.85 + -4.75 Combine like terms: 6.85 + -4.75 = 2.1 0.35x = 2.1 Divide each side by '0.35'. x = 6 Simplifying x = 6
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