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Simplifying 5X + -6X + 12 = 3X + 2X + 7 Reorder the terms: 12 + 5X + -6X = 3X + 2X + 7 Combine like terms: 5X + -6X = -1X 12 + -1X = 3X + 2X + 7 Reorder the terms: 12 + -1X = 7 + 3X + 2X Combine like terms: 3X + 2X = 5X 12 + -1X = 7 + 5X Solving 12 + -1X = 7 + 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. 12 + -1X + -5X = 7 + 5X + -5X Combine like terms: -1X + -5X = -6X 12 + -6X = 7 + 5X + -5X Combine like terms: 5X + -5X = 0 12 + -6X = 7 + 0 12 + -6X = 7 Add '-12' to each side of the equation. 12 + -12 + -6X = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -6X = 7 + -12 -6X = 7 + -12 Combine like terms: 7 + -12 = -5 -6X = -5 Divide each side by '-6'. X = 0.8333333333 Simplifying X = 0.8333333333
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