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Simplifying 14X + -8X + -14 = 5X + 38 Reorder the terms: -14 + 14X + -8X = 5X + 38 Combine like terms: 14X + -8X = 6X -14 + 6X = 5X + 38 Reorder the terms: -14 + 6X = 38 + 5X Solving -14 + 6X = 38 + 5X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5X' to each side of the equation. -14 + 6X + -5X = 38 + 5X + -5X Combine like terms: 6X + -5X = 1X -14 + 1X = 38 + 5X + -5X Combine like terms: 5X + -5X = 0 -14 + 1X = 38 + 0 -14 + 1X = 38 Add '14' to each side of the equation. -14 + 14 + 1X = 38 + 14 Combine like terms: -14 + 14 = 0 0 + 1X = 38 + 14 1X = 38 + 14 Combine like terms: 38 + 14 = 52 1X = 52 Divide each side by '1'. X = 52 Simplifying X = 52
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