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Simplifying 8(x + 1) = 5x + 32 Reorder the terms: 8(1 + x) = 5x + 32 (1 * 8 + x * 8) = 5x + 32 (8 + 8x) = 5x + 32 Reorder the terms: 8 + 8x = 32 + 5x Solving 8 + 8x = 32 + 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. 8 + 8x + -5x = 32 + 5x + -5x Combine like terms: 8x + -5x = 3x 8 + 3x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 3x = 32 + 0 8 + 3x = 32 Add '-8' to each side of the equation. 8 + -8 + 3x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 32 + -8 3x = 32 + -8 Combine like terms: 32 + -8 = 24 3x = 24 Divide each side by '3'. x = 8 Simplifying x = 8
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