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Simplifying 0.1(x + 90) + 0.9 = 34 Reorder the terms: 0.1(90 + x) + 0.9 = 34 (90 * 0.1 + x * 0.1) + 0.9 = 34 (9 + 0.1x) + 0.9 = 34 Reorder the terms: 9 + 0.9 + 0.1x = 34 Combine like terms: 9 + 0.9 = 9.9 9.9 + 0.1x = 34 Solving 9.9 + 0.1x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.9' to each side of the equation. 9.9 + -9.9 + 0.1x = 34 + -9.9 Combine like terms: 9.9 + -9.9 = 0.0 0.0 + 0.1x = 34 + -9.9 0.1x = 34 + -9.9 Combine like terms: 34 + -9.9 = 24.1 0.1x = 24.1 Divide each side by '0.1'. x = 241 Simplifying x = 241
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