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Simplifying 5X + 1 + -1(3X + -2) = 42 + -35 Reorder the terms: 5X + 1 + -1(-2 + 3X) = 42 + -35 5X + 1 + (-2 * -1 + 3X * -1) = 42 + -35 5X + 1 + (2 + -3X) = 42 + -35 Reorder the terms: 1 + 2 + 5X + -3X = 42 + -35 Combine like terms: 1 + 2 = 3 3 + 5X + -3X = 42 + -35 Combine like terms: 5X + -3X = 2X 3 + 2X = 42 + -35 Combine like terms: 42 + -35 = 7 3 + 2X = 7 Solving 3 + 2X = 7 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2X = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 2X = 7 + -3 2X = 7 + -3 Combine like terms: 7 + -3 = 4 2X = 4 Divide each side by '2'. X = 2 Simplifying X = 2
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