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Simplifying 7X + 45 + -1X + -62 = 3X + 23 + 2X Reorder the terms: 45 + -62 + 7X + -1X = 3X + 23 + 2X Combine like terms: 45 + -62 = -17 -17 + 7X + -1X = 3X + 23 + 2X Combine like terms: 7X + -1X = 6X -17 + 6X = 3X + 23 + 2X Reorder the terms: -17 + 6X = 23 + 3X + 2X Combine like terms: 3X + 2X = 5X -17 + 6X = 23 + 5X Solving -17 + 6X = 23 + 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. -17 + 6X + -5X = 23 + 5X + -5X Combine like terms: 6X + -5X = 1X -17 + 1X = 23 + 5X + -5X Combine like terms: 5X + -5X = 0 -17 + 1X = 23 + 0 -17 + 1X = 23 Add '17' to each side of the equation. -17 + 17 + 1X = 23 + 17 Combine like terms: -17 + 17 = 0 0 + 1X = 23 + 17 1X = 23 + 17 Combine like terms: 23 + 17 = 40 1X = 40 Divide each side by '1'. X = 40 Simplifying X = 40
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