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Simplifying 25(3x + 1) + 24(3x + 1) = 1258 Reorder the terms: 25(1 + 3x) + 24(3x + 1) = 1258 (1 * 25 + 3x * 25) + 24(3x + 1) = 1258 (25 + 75x) + 24(3x + 1) = 1258 Reorder the terms: 25 + 75x + 24(1 + 3x) = 1258 25 + 75x + (1 * 24 + 3x * 24) = 1258 25 + 75x + (24 + 72x) = 1258 Reorder the terms: 25 + 24 + 75x + 72x = 1258 Combine like terms: 25 + 24 = 49 49 + 75x + 72x = 1258 Combine like terms: 75x + 72x = 147x 49 + 147x = 1258 Solving 49 + 147x = 1258 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 147x = 1258 + -49 Combine like terms: 49 + -49 = 0 0 + 147x = 1258 + -49 147x = 1258 + -49 Combine like terms: 1258 + -49 = 1209 147x = 1209 Divide each side by '147'. x = 8.224489796 Simplifying x = 8.224489796
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