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Simplifying 5(X + 3) + 2(2x + 4) = 8x + 24 Reorder the terms: 5(3 + X) + 2(2x + 4) = 8x + 24 (3 * 5 + X * 5) + 2(2x + 4) = 8x + 24 (15 + 5X) + 2(2x + 4) = 8x + 24 Reorder the terms: 15 + 5X + 2(4 + 2x) = 8x + 24 15 + 5X + (4 * 2 + 2x * 2) = 8x + 24 15 + 5X + (8 + 4x) = 8x + 24 Reorder the terms: 15 + 8 + 5X + 4x = 8x + 24 Combine like terms: 15 + 8 = 23 23 + 5X + 4x = 8x + 24 Reorder the terms: 23 + 5X + 4x = 24 + 8x Solving 23 + 5X + 4x = 24 + 8x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 5X + -23 + 4x = 24 + -23 + 8x Reorder the terms: 23 + -23 + 5X + 4x = 24 + -23 + 8x Combine like terms: 23 + -23 = 0 0 + 5X + 4x = 24 + -23 + 8x 5X + 4x = 24 + -23 + 8x Combine like terms: 24 + -23 = 1 5X + 4x = 1 + 8x Add '-4x' to each side of the equation. 5X + 4x + -4x = 1 + 8x + -4x Combine like terms: 4x + -4x = 0 5X + 0 = 1 + 8x + -4x 5X = 1 + 8x + -4x Combine like terms: 8x + -4x = 4x 5X = 1 + 4x Divide each side by '5'. X = 0.2 + 0.8x Simplifying X = 0.2 + 0.8x
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