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Simplifying 67x = 81(2x + -3) + -232 Reorder the terms: 67x = 81(-3 + 2x) + -232 67x = (-3 * 81 + 2x * 81) + -232 67x = (-243 + 162x) + -232 Reorder the terms: 67x = -243 + -232 + 162x Combine like terms: -243 + -232 = -475 67x = -475 + 162x Solving 67x = -475 + 162x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-162x' to each side of the equation. 67x + -162x = -475 + 162x + -162x Combine like terms: 67x + -162x = -95x -95x = -475 + 162x + -162x Combine like terms: 162x + -162x = 0 -95x = -475 + 0 -95x = -475 Divide each side by '-95'. x = 5 Simplifying x = 5
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