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Simplifying 35(X + 71) = X + 97 Reorder the terms: 35(71 + X) = X + 97 (71 * 35 + X * 35) = X + 97 (2485 + 35X) = X + 97 Reorder the terms: 2485 + 35X = 97 + X Solving 2485 + 35X = 97 + X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1X' to each side of the equation. 2485 + 35X + -1X = 97 + X + -1X Combine like terms: 35X + -1X = 34X 2485 + 34X = 97 + X + -1X Combine like terms: X + -1X = 0 2485 + 34X = 97 + 0 2485 + 34X = 97 Add '-2485' to each side of the equation. 2485 + -2485 + 34X = 97 + -2485 Combine like terms: 2485 + -2485 = 0 0 + 34X = 97 + -2485 34X = 97 + -2485 Combine like terms: 97 + -2485 = -2388 34X = -2388 Divide each side by '34'. X = -70.23529412 Simplifying X = -70.23529412
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