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Simplifying 10X + -1X + 8 + -3 = 12 + 3X + -1X + 7 Reorder the terms: 8 + -3 + 10X + -1X = 12 + 3X + -1X + 7 Combine like terms: 8 + -3 = 5 5 + 10X + -1X = 12 + 3X + -1X + 7 Combine like terms: 10X + -1X = 9X 5 + 9X = 12 + 3X + -1X + 7 Reorder the terms: 5 + 9X = 12 + 7 + 3X + -1X Combine like terms: 12 + 7 = 19 5 + 9X = 19 + 3X + -1X Combine like terms: 3X + -1X = 2X 5 + 9X = 19 + 2X Solving 5 + 9X = 19 + 2X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2X' to each side of the equation. 5 + 9X + -2X = 19 + 2X + -2X Combine like terms: 9X + -2X = 7X 5 + 7X = 19 + 2X + -2X Combine like terms: 2X + -2X = 0 5 + 7X = 19 + 0 5 + 7X = 19 Add '-5' to each side of the equation. 5 + -5 + 7X = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 7X = 19 + -5 7X = 19 + -5 Combine like terms: 19 + -5 = 14 7X = 14 Divide each side by '7'. X = 2 Simplifying X = 2
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