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Simplifying 8(x + 3) = 3(x + 23) Reorder the terms: 8(3 + x) = 3(x + 23) (3 * 8 + x * 8) = 3(x + 23) (24 + 8x) = 3(x + 23) Reorder the terms: 24 + 8x = 3(23 + x) 24 + 8x = (23 * 3 + x * 3) 24 + 8x = (69 + 3x) Solving 24 + 8x = 69 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 24 + 8x + -3x = 69 + 3x + -3x Combine like terms: 8x + -3x = 5x 24 + 5x = 69 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 5x = 69 + 0 24 + 5x = 69 Add '-24' to each side of the equation. 24 + -24 + 5x = 69 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 69 + -24 5x = 69 + -24 Combine like terms: 69 + -24 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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