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Simplifying 0.9(x + 30) + 0.1x = 52 Reorder the terms: 0.9(30 + x) + 0.1x = 52 (30 * 0.9 + x * 0.9) + 0.1x = 52 (27 + 0.9x) + 0.1x = 52 Combine like terms: 0.9x + 0.1x = 1x 27 + 1x = 52 Solving 27 + 1x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 1x = 52 + -27 Combine like terms: 27 + -27 = 0 0 + 1x = 52 + -27 1x = 52 + -27 Combine like terms: 52 + -27 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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