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Simplifying 0.1(x + 90) + 0.1 = 10 Reorder the terms: 0.1(90 + x) + 0.1 = 10 (90 * 0.1 + x * 0.1) + 0.1 = 10 (9 + 0.1x) + 0.1 = 10 Reorder the terms: 9 + 0.1 + 0.1x = 10 Combine like terms: 9 + 0.1 = 9.1 9.1 + 0.1x = 10 Solving 9.1 + 0.1x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.1' to each side of the equation. 9.1 + -9.1 + 0.1x = 10 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + 0.1x = 10 + -9.1 0.1x = 10 + -9.1 Combine like terms: 10 + -9.1 = 0.9 0.1x = 0.9 Divide each side by '0.1'. x = 9 Simplifying x = 9
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