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Simplifying 49.5 = 48X + 51(1 + -1X) 49.5 = 48X + (1 * 51 + -1X * 51) 49.5 = 48X + (51 + -51X) Reorder the terms: 49.5 = 51 + 48X + -51X Combine like terms: 48X + -51X = -3X 49.5 = 51 + -3X Solving 49.5 = 51 + -3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '3X' to each side of the equation. 49.5 + 3X = 51 + -3X + 3X Combine like terms: -3X + 3X = 0 49.5 + 3X = 51 + 0 49.5 + 3X = 51 Add '-49.5' to each side of the equation. 49.5 + -49.5 + 3X = 51 + -49.5 Combine like terms: 49.5 + -49.5 = 0.0 0.0 + 3X = 51 + -49.5 3X = 51 + -49.5 Combine like terms: 51 + -49.5 = 1.5 3X = 1.5 Divide each side by '3'. X = 0.5 Simplifying X = 0.5
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