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Simplifying 4(2x + 3) = 3x + 24 + 2x Reorder the terms: 4(3 + 2x) = 3x + 24 + 2x (3 * 4 + 2x * 4) = 3x + 24 + 2x (12 + 8x) = 3x + 24 + 2x Reorder the terms: 12 + 8x = 24 + 3x + 2x Combine like terms: 3x + 2x = 5x 12 + 8x = 24 + 5x Solving 12 + 8x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 8x + -5x = 24 + 5x + -5x Combine like terms: 8x + -5x = 3x 12 + 3x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + 3x = 24 + 0 12 + 3x = 24 Add '-12' to each side of the equation. 12 + -12 + 3x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 3x = 24 + -12 3x = 24 + -12 Combine like terms: 24 + -12 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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