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Simplifying 0.5X + 2 + -2.5X = 1.5X + -6 Reorder the terms: 2 + 0.5X + -2.5X = 1.5X + -6 Combine like terms: 0.5X + -2.5X = -2X 2 + -2X = 1.5X + -6 Reorder the terms: 2 + -2X = -6 + 1.5X Solving 2 + -2X = -6 + 1.5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1.5X' to each side of the equation. 2 + -2X + -1.5X = -6 + 1.5X + -1.5X Combine like terms: -2X + -1.5X = -3.5X 2 + -3.5X = -6 + 1.5X + -1.5X Combine like terms: 1.5X + -1.5X = 0.0 2 + -3.5X = -6 + 0.0 2 + -3.5X = -6 Add '-2' to each side of the equation. 2 + -2 + -3.5X = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -3.5X = -6 + -2 -3.5X = -6 + -2 Combine like terms: -6 + -2 = -8 -3.5X = -8 Divide each side by '-3.5'. X = 2.285714286 Simplifying X = 2.285714286
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