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Simplifying 8(x + 1) = 5(x + 4) Reorder the terms: 8(1 + x) = 5(x + 4) (1 * 8 + x * 8) = 5(x + 4) (8 + 8x) = 5(x + 4) Reorder the terms: 8 + 8x = 5(4 + x) 8 + 8x = (4 * 5 + x * 5) 8 + 8x = (20 + 5x) Solving 8 + 8x = 20 + 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 = 20 + 5x + -5x Combine like terms: 8x + -5x = 3x 8 + 3x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + 3x = 20 + 0 8 + 3x = 20 Add '-8' to each side of the equation. 8 + -8 + 3x = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = 20 + -8 3x = 20 + -8 Combine like terms: 20 + -8 = 12 3x = 12 Divide each side by '3'. x = 4 Simplifying x = 4
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