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Simplifying 0.7(x + 80) + 0.3x = 81 Reorder the terms: 0.7(80 + x) + 0.3x = 81 (80 * 0.7 + x * 0.7) + 0.3x = 81 (56 + 0.7x) + 0.3x = 81 Combine like terms: 0.7x + 0.3x = 1x 56 + 1x = 81 Solving 56 + 1x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 1x = 81 + -56 Combine like terms: 56 + -56 = 0 0 + 1x = 81 + -56 1x = 81 + -56 Combine like terms: 81 + -56 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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