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Simplifying 30 + -1X = 15 + 0.5X + 5 Reorder the terms: 30 + -1X = 15 + 5 + 0.5X Combine like terms: 15 + 5 = 20 30 + -1X = 20 + 0.5X Solving 30 + -1X = 20 + 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. 30 + -1X + -0.5X = 20 + 0.5X + -0.5X Combine like terms: -1X + -0.5X = -1.5X 30 + -1.5X = 20 + 0.5X + -0.5X Combine like terms: 0.5X + -0.5X = 0.0 30 + -1.5X = 20 + 0.0 30 + -1.5X = 20 Add '-30' to each side of the equation. 30 + -30 + -1.5X = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -1.5X = 20 + -30 -1.5X = 20 + -30 Combine like terms: 20 + -30 = -10 -1.5X = -10 Divide each side by '-1.5'. X = 6.666666667 Simplifying X = 6.666666667
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