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Simplifying 14 = 0.5(2X + 5 + 3X + -12) Reorder the terms: 14 = 0.5(5 + -12 + 2X + 3X) Combine like terms: 5 + -12 = -7 14 = 0.5(-7 + 2X + 3X) Combine like terms: 2X + 3X = 5X 14 = 0.5(-7 + 5X) 14 = (-7 * 0.5 + 5X * 0.5) 14 = (-3.5 + 2.5X) Solving 14 = -3.5 + 2.5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2.5X' to each side of the equation. 14 + -2.5X = -3.5 + 2.5X + -2.5X Combine like terms: 2.5X + -2.5X = 0.0 14 + -2.5X = -3.5 + 0.0 14 + -2.5X = -3.5 Add '-14' to each side of the equation. 14 + -14 + -2.5X = -3.5 + -14 Combine like terms: 14 + -14 = 0 0 + -2.5X = -3.5 + -14 -2.5X = -3.5 + -14 Combine like terms: -3.5 + -14 = -17.5 -2.5X = -17.5 Divide each side by '-2.5'. X = 7 Simplifying X = 7
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