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Simplifying 4(3x + 24) = 2(4x + 24) Reorder the terms: 4(24 + 3x) = 2(4x + 24) (24 * 4 + 3x * 4) = 2(4x + 24) (96 + 12x) = 2(4x + 24) Reorder the terms: 96 + 12x = 2(24 + 4x) 96 + 12x = (24 * 2 + 4x * 2) 96 + 12x = (48 + 8x) Solving 96 + 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. 96 + 12x + -8x = 48 + 8x + -8x Combine like terms: 12x + -8x = 4x 96 + 4x = 48 + 8x + -8x Combine like terms: 8x + -8x = 0 96 + 4x = 48 + 0 96 + 4x = 48 Add '-96' to each side of the equation. 96 + -96 + 4x = 48 + -96 Combine like terms: 96 + -96 = 0 0 + 4x = 48 + -96 4x = 48 + -96 Combine like terms: 48 + -96 = -48 4x = -48 Divide each side by '4'. x = -12 Simplifying x = -12
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