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Simplifying 0.1(x + 80) + 0.9x = 33 Reorder the terms: 0.1(80 + x) + 0.9x = 33 (80 * 0.1 + x * 0.1) + 0.9x = 33 (8 + 0.1x) + 0.9x = 33 Combine like terms: 0.1x + 0.9x = 1x 8 + 1x = 33 Solving 8 + 1x = 33 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1x = 33 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 33 + -8 1x = 33 + -8 Combine like terms: 33 + -8 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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