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Simplifying 7X + -42X + 5 = -2X + -35X + 12 Reorder the terms: 5 + 7X + -42X = -2X + -35X + 12 Combine like terms: 7X + -42X = -35X 5 + -35X = -2X + -35X + 12 Reorder the terms: 5 + -35X = 12 + -2X + -35X Combine like terms: -2X + -35X = -37X 5 + -35X = 12 + -37X Solving 5 + -35X = 12 + -37X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '37X' to each side of the equation. 5 + -35X + 37X = 12 + -37X + 37X Combine like terms: -35X + 37X = 2X 5 + 2X = 12 + -37X + 37X Combine like terms: -37X + 37X = 0 5 + 2X = 12 + 0 5 + 2X = 12 Add '-5' to each side of the equation. 5 + -5 + 2X = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 2X = 12 + -5 2X = 12 + -5 Combine like terms: 12 + -5 = 7 2X = 7 Divide each side by '2'. X = 3.5 Simplifying X = 3.5
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