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Simplifying 0.1(x + 100) + 0.9x = 35 Reorder the terms: 0.1(100 + x) + 0.9x = 35 (100 * 0.1 + x * 0.1) + 0.9x = 35 (10 + 0.1x) + 0.9x = 35 Combine like terms: 0.1x + 0.9x = 1x 10 + 1x = 35 Solving 10 + 1x = 35 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 1x = 35 + -10 Combine like terms: 10 + -10 = 0 0 + 1x = 35 + -10 1x = 35 + -10 Combine like terms: 35 + -10 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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