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Simplifying 8X + 12 = 3X + 42 Reorder the terms: 12 + 8X = 3X + 42 Reorder the terms: 12 + 8X = 42 + 3X Solving 12 + 8X = 42 + 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. 12 + 8X + -3X = 42 + 3X + -3X Combine like terms: 8X + -3X = 5X 12 + 5X = 42 + 3X + -3X Combine like terms: 3X + -3X = 0 12 + 5X = 42 + 0 12 + 5X = 42 Add '-12' to each side of the equation. 12 + -12 + 5X = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 5X = 42 + -12 5X = 42 + -12 Combine like terms: 42 + -12 = 30 5X = 30 Divide each side by '5'. X = 6 Simplifying X = 6
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