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Simplifying 5(2 + -1X) = 3(8 + X) (2 * 5 + -1X * 5) = 3(8 + X) (10 + -5X) = 3(8 + X) 10 + -5X = (8 * 3 + X * 3) 10 + -5X = (24 + 3X) Solving 10 + -5X = 24 + 3X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3X' to each side of the equation. 10 + -5X + -3X = 24 + 3X + -3X Combine like terms: -5X + -3X = -8X 10 + -8X = 24 + 3X + -3X Combine like terms: 3X + -3X = 0 10 + -8X = 24 + 0 10 + -8X = 24 Add '-10' to each side of the equation. 10 + -10 + -8X = 24 + -10 Combine like terms: 10 + -10 = 0 0 + -8X = 24 + -10 -8X = 24 + -10 Combine like terms: 24 + -10 = 14 -8X = 14 Divide each side by '-8'. X = -1.75 Simplifying X = -1.75
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