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Simplifying 65x + -97 + 73x = 124 + 96x + -137 Reorder the terms: -97 + 65x + 73x = 124 + 96x + -137 Combine like terms: 65x + 73x = 138x -97 + 138x = 124 + 96x + -137 Reorder the terms: -97 + 138x = 124 + -137 + 96x Combine like terms: 124 + -137 = -13 -97 + 138x = -13 + 96x Solving -97 + 138x = -13 + 96x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96x' to each side of the equation. -97 + 138x + -96x = -13 + 96x + -96x Combine like terms: 138x + -96x = 42x -97 + 42x = -13 + 96x + -96x Combine like terms: 96x + -96x = 0 -97 + 42x = -13 + 0 -97 + 42x = -13 Add '97' to each side of the equation. -97 + 97 + 42x = -13 + 97 Combine like terms: -97 + 97 = 0 0 + 42x = -13 + 97 42x = -13 + 97 Combine like terms: -13 + 97 = 84 42x = 84 Divide each side by '42'. x = 2 Simplifying x = 2
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