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Simplifying 100x + 50(x + 39) + 20 * 5x = 8450 Reorder the terms: 100x + 50(39 + x) + 20 * 5x = 8450 100x + (39 * 50 + x * 50) + 20 * 5x = 8450 100x + (1950 + 50x) + 20 * 5x = 8450 Multiply 20 * 5 100x + 1950 + 50x + 100x = 8450 Reorder the terms: 1950 + 100x + 50x + 100x = 8450 Combine like terms: 100x + 50x = 150x 1950 + 150x + 100x = 8450 Combine like terms: 150x + 100x = 250x 1950 + 250x = 8450 Solving 1950 + 250x = 8450 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1950' to each side of the equation. 1950 + -1950 + 250x = 8450 + -1950 Combine like terms: 1950 + -1950 = 0 0 + 250x = 8450 + -1950 250x = 8450 + -1950 Combine like terms: 8450 + -1950 = 6500 250x = 6500 Divide each side by '250'. x = 26 Simplifying x = 26
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