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Simplifying 0.9(x + 50) + 0.1x = 70 Reorder the terms: 0.9(50 + x) + 0.1x = 70 (50 * 0.9 + x * 0.9) + 0.1x = 70 (45 + 0.9x) + 0.1x = 70 Combine like terms: 0.9x + 0.1x = 1x 45 + 1x = 70 Solving 45 + 1x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 1x = 70 + -45 Combine like terms: 45 + -45 = 0 0 + 1x = 70 + -45 1x = 70 + -45 Combine like terms: 70 + -45 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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