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Simplifying 2(6x + 8) = 2(4x + 24) Reorder the terms: 2(8 + 6x) = 2(4x + 24) (8 * 2 + 6x * 2) = 2(4x + 24) (16 + 12x) = 2(4x + 24) Reorder the terms: 16 + 12x = 2(24 + 4x) 16 + 12x = (24 * 2 + 4x * 2) 16 + 12x = (48 + 8x) Solving 16 + 12x = 48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 16 + 12x + -8x = 48 + 8x + -8x Combine like terms: 12x + -8x = 4x 16 + 4x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 16 + 4x = 48 + 0 16 + 4x = 48 Add '-16' to each side of the equation. 16 + -16 + 4x = 48 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 48 + -16 4x = 48 + -16 Combine like terms: 48 + -16 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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