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Simplifying (3x + 8) * 2 = 2x + 24 Reorder the terms: (8 + 3x) * 2 = 2x + 24 Reorder the terms for easier multiplication: 2(8 + 3x) = 2x + 24 (8 * 2 + 3x * 2) = 2x + 24 (16 + 6x) = 2x + 24 Reorder the terms: 16 + 6x = 24 + 2x Solving 16 + 6x = 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. 16 + 6x + -2x = 24 + 2x + -2x Combine like terms: 6x + -2x = 4x 16 + 4x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 16 + 4x = 24 + 0 16 + 4x = 24 Add '-16' to each side of the equation. 16 + -16 + 4x = 24 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 24 + -16 4x = 24 + -16 Combine like terms: 24 + -16 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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