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Simplifying 0.9(x + 40) + 0.1x = 61 Reorder the terms: 0.9(40 + x) + 0.1x = 61 (40 * 0.9 + x * 0.9) + 0.1x = 61 (36 + 0.9x) + 0.1x = 61 Combine like terms: 0.9x + 0.1x = 1x 36 + 1x = 61 Solving 36 + 1x = 61 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 1x = 61 + -36 Combine like terms: 36 + -36 = 0 0 + 1x = 61 + -36 1x = 61 + -36 Combine like terms: 61 + -36 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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