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Simplifying 16 + 55x = 75(x + 20) Reorder the terms: 16 + 55x = 75(20 + x) 16 + 55x = (20 * 75 + x * 75) 16 + 55x = (1500 + 75x) Solving 16 + 55x = 1500 + 75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-75x' to each side of the equation. 16 + 55x + -75x = 1500 + 75x + -75x Combine like terms: 55x + -75x = -20x 16 + -20x = 1500 + 75x + -75x Combine like terms: 75x + -75x = 0 16 + -20x = 1500 + 0 16 + -20x = 1500 Add '-16' to each side of the equation. 16 + -16 + -20x = 1500 + -16 Combine like terms: 16 + -16 = 0 0 + -20x = 1500 + -16 -20x = 1500 + -16 Combine like terms: 1500 + -16 = 1484 -20x = 1484 Divide each side by '-20'. x = -74.2 Simplifying x = -74.2
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