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Simplifying 0.10x + 0.25(x + 5) = 6.50 Reorder the terms: 0.10x + 0.25(5 + x) = 6.50 0.10x + (5 * 0.25 + x * 0.25) = 6.50 0.10x + (1.25 + 0.25x) = 6.50 Reorder the terms: 1.25 + 0.10x + 0.25x = 6.50 Combine like terms: 0.10x + 0.25x = 0.35x 1.25 + 0.35x = 6.50 Solving 1.25 + 0.35x = 6.50 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25' to each side of the equation. 1.25 + -1.25 + 0.35x = 6.50 + -1.25 Combine like terms: 1.25 + -1.25 = 0.00 0.00 + 0.35x = 6.50 + -1.25 0.35x = 6.50 + -1.25 Combine like terms: 6.50 + -1.25 = 5.25 0.35x = 5.25 Divide each side by '0.35'. x = 15 Simplifying x = 15
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