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Simplifying 0.25x + 0.10(x + 2.5) = 16 Reorder the terms: 0.25x + 0.10(2.5 + x) = 16 0.25x + (2.5 * 0.10 + x * 0.10) = 16 0.25x + (0.25 + 0.10x) = 16 Reorder the terms: 0.25 + 0.25x + 0.10x = 16 Combine like terms: 0.25x + 0.10x = 0.35x 0.25 + 0.35x = 16 Solving 0.25 + 0.35x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25' to each side of the equation. 0.25 + -0.25 + 0.35x = 16 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.35x = 16 + -0.25 0.35x = 16 + -0.25 Combine like terms: 16 + -0.25 = 15.75 0.35x = 15.75 Divide each side by '0.35'. x = 45 Simplifying x = 45
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