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Simplifying 0.1(x + 90) + 0.1x = 10 Reorder the terms: 0.1(90 + x) + 0.1x = 10 (90 * 0.1 + x * 0.1) + 0.1x = 10 (9 + 0.1x) + 0.1x = 10 Combine like terms: 0.1x + 0.1x = 0.2x 9 + 0.2x = 10 Solving 9 + 0.2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 0.2x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + 0.2x = 10 + -9 0.2x = 10 + -9 Combine like terms: 10 + -9 = 1 0.2x = 1 Divide each side by '0.2'. x = 5 Simplifying x = 5
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