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Simplifying -0.75X + 2 = 0.5X + 6 Reorder the terms: 2 + -0.75X = 0.5X + 6 Reorder the terms: 2 + -0.75X = 6 + 0.5X Solving 2 + -0.75X = 6 + 0.5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-0.5X' to each side of the equation. 2 + -0.75X + -0.5X = 6 + 0.5X + -0.5X Combine like terms: -0.75X + -0.5X = -1.25X 2 + -1.25X = 6 + 0.5X + -0.5X Combine like terms: 0.5X + -0.5X = 0.0 2 + -1.25X = 6 + 0.0 2 + -1.25X = 6 Add '-2' to each side of the equation. 2 + -2 + -1.25X = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -1.25X = 6 + -2 -1.25X = 6 + -2 Combine like terms: 6 + -2 = 4 -1.25X = 4 Divide each side by '-1.25'. X = -3.2 Simplifying X = -3.2
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