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Simplifying 5(X + -8) + 24 = (X + -5) Reorder the terms: 5(-8 + X) + 24 = (X + -5) (-8 * 5 + X * 5) + 24 = (X + -5) (-40 + 5X) + 24 = (X + -5) Reorder the terms: -40 + 24 + 5X = (X + -5) Combine like terms: -40 + 24 = -16 -16 + 5X = (X + -5) Reorder the terms: -16 + 5X = (-5 + X) Remove parenthesis around (-5 + X) -16 + 5X = -5 + X Solving -16 + 5X = -5 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. -16 + 5X + -1X = -5 + X + -1X Combine like terms: 5X + -1X = 4X -16 + 4X = -5 + X + -1X Combine like terms: X + -1X = 0 -16 + 4X = -5 + 0 -16 + 4X = -5 Add '16' to each side of the equation. -16 + 16 + 4X = -5 + 16 Combine like terms: -16 + 16 = 0 0 + 4X = -5 + 16 4X = -5 + 16 Combine like terms: -5 + 16 = 11 4X = 11 Divide each side by '4'. X = 2.75 Simplifying X = 2.75
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