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Simplifying 0.625(8X + 24) + 1 = 0.5(12X + -2) + 12 Reorder the terms: 0.625(24 + 8X) + 1 = 0.5(12X + -2) + 12 (24 * 0.625 + 8X * 0.625) + 1 = 0.5(12X + -2) + 12 (15 + 5X) + 1 = 0.5(12X + -2) + 12 Reorder the terms: 15 + 1 + 5X = 0.5(12X + -2) + 12 Combine like terms: 15 + 1 = 16 16 + 5X = 0.5(12X + -2) + 12 Reorder the terms: 16 + 5X = 0.5(-2 + 12X) + 12 16 + 5X = (-2 * 0.5 + 12X * 0.5) + 12 16 + 5X = (-1 + 6X) + 12 Reorder the terms: 16 + 5X = -1 + 12 + 6X Combine like terms: -1 + 12 = 11 16 + 5X = 11 + 6X Solving 16 + 5X = 11 + 6X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6X' to each side of the equation. 16 + 5X + -6X = 11 + 6X + -6X Combine like terms: 5X + -6X = -1X 16 + -1X = 11 + 6X + -6X Combine like terms: 6X + -6X = 0 16 + -1X = 11 + 0 16 + -1X = 11 Add '-16' to each side of the equation. 16 + -16 + -1X = 11 + -16 Combine like terms: 16 + -16 = 0 0 + -1X = 11 + -16 -1X = 11 + -16 Combine like terms: 11 + -16 = -5 -1X = -5 Divide each side by '-1'. X = 5 Simplifying X = 5
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