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Simplifying 3(2x + 8) = 4(12 + x) Reorder the terms: 3(8 + 2x) = 4(12 + x) (8 * 3 + 2x * 3) = 4(12 + x) (24 + 6x) = 4(12 + x) 24 + 6x = (12 * 4 + x * 4) 24 + 6x = (48 + 4x) Solving 24 + 6x = 48 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 6x + -4x = 48 + 4x + -4x Combine like terms: 6x + -4x = 2x 24 + 2x = 48 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 2x = 48 + 0 24 + 2x = 48 Add '-24' to each side of the equation. 24 + -24 + 2x = 48 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 48 + -24 2x = 48 + -24 Combine like terms: 48 + -24 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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