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Simplifying X + (X + -42) = 102 Reorder the terms: X + (-42 + X) = 102 Remove parenthesis around (-42 + X) X + -42 + X = 102 Reorder the terms: -42 + X + X = 102 Combine like terms: X + X = 2X -42 + 2X = 102 Solving -42 + 2X = 102 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 2X = 102 + 42 Combine like terms: -42 + 42 = 0 0 + 2X = 102 + 42 2X = 102 + 42 Combine like terms: 102 + 42 = 144 2X = 144 Divide each side by '2'. X = 72 Simplifying X = 72
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