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Simplifying 2(3x + 12) = (4x + 8) Reorder the terms: 2(12 + 3x) = (4x + 8) (12 * 2 + 3x * 2) = (4x + 8) (24 + 6x) = (4x + 8) Reorder the terms: 24 + 6x = (8 + 4x) Remove parenthesis around (8 + 4x) 24 + 6x = 8 + 4x Solving 24 + 6x = 8 + 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 = 8 + 4x + -4x Combine like terms: 6x + -4x = 2x 24 + 2x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + 2x = 8 + 0 24 + 2x = 8 Add '-24' to each side of the equation. 24 + -24 + 2x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = 8 + -24 2x = 8 + -24 Combine like terms: 8 + -24 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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