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Simplifying 4(4x + 5) = 4 + 8x Reorder the terms: 4(5 + 4x) = 4 + 8x (5 * 4 + 4x * 4) = 4 + 8x (20 + 16x) = 4 + 8x Solving 20 + 16x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 20 + 16x + -8x = 4 + 8x + -8x Combine like terms: 16x + -8x = 8x 20 + 8x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 20 + 8x = 4 + 0 20 + 8x = 4 Add '-20' to each side of the equation. 20 + -20 + 8x = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 8x = 4 + -20 8x = 4 + -20 Combine like terms: 4 + -20 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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