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Simplifying 4(2x + 4) = 5(4x + 1) Reorder the terms: 4(4 + 2x) = 5(4x + 1) (4 * 4 + 2x * 4) = 5(4x + 1) (16 + 8x) = 5(4x + 1) Reorder the terms: 16 + 8x = 5(1 + 4x) 16 + 8x = (1 * 5 + 4x * 5) 16 + 8x = (5 + 20x) Solving 16 + 8x = 5 + 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. 16 + 8x + -20x = 5 + 20x + -20x Combine like terms: 8x + -20x = -12x 16 + -12x = 5 + 20x + -20x Combine like terms: 20x + -20x = 0 16 + -12x = 5 + 0 16 + -12x = 5 Add '-16' to each side of the equation. 16 + -16 + -12x = 5 + -16 Combine like terms: 16 + -16 = 0 0 + -12x = 5 + -16 -12x = 5 + -16 Combine like terms: 5 + -16 = -11 -12x = -11 Divide each side by '-12'. x = 0.9166666667 Simplifying x = 0.9166666667
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