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