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Simplifying 4x + 82 = 2x + 24 Reorder the terms: 82 + 4x = 2x + 24 Reorder the terms: 82 + 4x = 24 + 2x Solving 82 + 4x = 24 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 82 + 4x + -2x = 24 + 2x + -2x Combine like terms: 4x + -2x = 2x 82 + 2x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 82 + 2x = 24 + 0 82 + 2x = 24 Add '-82' to each side of the equation. 82 + -82 + 2x = 24 + -82 Combine like terms: 82 + -82 = 0 0 + 2x = 24 + -82 2x = 24 + -82 Combine like terms: 24 + -82 = -58 2x = -58 Divide each side by '2'. x = -29 Simplifying x = -29
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