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Simplifying 8(4x + 1) = 20(x + 4) Reorder the terms: 8(1 + 4x) = 20(x + 4) (1 * 8 + 4x * 8) = 20(x + 4) (8 + 32x) = 20(x + 4) Reorder the terms: 8 + 32x = 20(4 + x) 8 + 32x = (4 * 20 + x * 20) 8 + 32x = (80 + 20x) Solving 8 + 32x = 80 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 8 + 32x + -20x = 80 + 20x + -20x Combine like terms: 32x + -20x = 12x 8 + 12x = 80 + 20x + -20x Combine like terms: 20x + -20x = 0 8 + 12x = 80 + 0 8 + 12x = 80 Add '-8' to each side of the equation. 8 + -8 + 12x = 80 + -8 Combine like terms: 8 + -8 = 0 0 + 12x = 80 + -8 12x = 80 + -8 Combine like terms: 80 + -8 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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