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Simplifying 4x + 24 = 4(2 + 3x) Reorder the terms: 24 + 4x = 4(2 + 3x) 24 + 4x = (2 * 4 + 3x * 4) 24 + 4x = (8 + 12x) Solving 24 + 4x = 8 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + 4x + -12x = 8 + 12x + -12x Combine like terms: 4x + -12x = -8x 24 + -8x = 8 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -8x = 8 + 0 24 + -8x = 8 Add '-24' to each side of the equation. 24 + -24 + -8x = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -8x = 8 + -24 -8x = 8 + -24 Combine like terms: 8 + -24 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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