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Simplifying 0.1(x + 10) + 1.7x = 82 Reorder the terms: 0.1(10 + x) + 1.7x = 82 (10 * 0.1 + x * 0.1) + 1.7x = 82 (1 + 0.1x) + 1.7x = 82 Combine like terms: 0.1x + 1.7x = 1.8x 1 + 1.8x = 82 Solving 1 + 1.8x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1.8x = 82 + -1 Combine like terms: 1 + -1 = 0 0 + 1.8x = 82 + -1 1.8x = 82 + -1 Combine like terms: 82 + -1 = 81 1.8x = 81 Divide each side by '1.8'. x = 45 Simplifying x = 45
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