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Simplifying 8(x + 1) = 3(x + 8) Reorder the terms: 8(1 + x) = 3(x + 8) (1 * 8 + x * 8) = 3(x + 8) (8 + 8x) = 3(x + 8) Reorder the terms: 8 + 8x = 3(8 + x) 8 + 8x = (8 * 3 + x * 3) 8 + 8x = (24 + 3x) Solving 8 + 8x = 24 + 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. 8 + 8x + -3x = 24 + 3x + -3x Combine like terms: 8x + -3x = 5x 8 + 5x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 5x = 24 + 0 8 + 5x = 24 Add '-8' to each side of the equation. 8 + -8 + 5x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 24 + -8 5x = 24 + -8 Combine like terms: 24 + -8 = 16 5x = 16 Divide each side by '5'. x = 3.2 Simplifying x = 3.2
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