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Simplifying 7x + 12(100 + x) = 3898 7x + (100 * 12 + x * 12) = 3898 7x + (1200 + 12x) = 3898 Reorder the terms: 1200 + 7x + 12x = 3898 Combine like terms: 7x + 12x = 19x 1200 + 19x = 3898 Solving 1200 + 19x = 3898 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1200' to each side of the equation. 1200 + -1200 + 19x = 3898 + -1200 Combine like terms: 1200 + -1200 = 0 0 + 19x = 3898 + -1200 19x = 3898 + -1200 Combine like terms: 3898 + -1200 = 2698 19x = 2698 Divide each side by '19'. x = 142 Simplifying x = 142
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