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Simplifying (5 + X) + (X + 71) = 71 + -5 Remove parenthesis around (5 + X) 5 + X + (X + 71) = 71 + -5 Reorder the terms: 5 + X + (71 + X) = 71 + -5 Remove parenthesis around (71 + X) 5 + X + 71 + X = 71 + -5 Reorder the terms: 5 + 71 + X + X = 71 + -5 Combine like terms: 5 + 71 = 76 76 + X + X = 71 + -5 Combine like terms: X + X = 2X 76 + 2X = 71 + -5 Combine like terms: 71 + -5 = 66 76 + 2X = 66 Solving 76 + 2X = 66 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-76' to each side of the equation. 76 + -76 + 2X = 66 + -76 Combine like terms: 76 + -76 = 0 0 + 2X = 66 + -76 2X = 66 + -76 Combine like terms: 66 + -76 = -10 2X = -10 Divide each side by '2'. X = -5 Simplifying X = -5
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