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Simplifying 3x + 24 = 2(2 + 4x) Reorder the terms: 24 + 3x = 2(2 + 4x) 24 + 3x = (2 * 2 + 4x * 2) 24 + 3x = (4 + 8x) Solving 24 + 3x = 4 + 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. 24 + 3x + -8x = 4 + 8x + -8x Combine like terms: 3x + -8x = -5x 24 + -5x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -5x = 4 + 0 24 + -5x = 4 Add '-24' to each side of the equation. 24 + -24 + -5x = 4 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = 4 + -24 -5x = 4 + -24 Combine like terms: 4 + -24 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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