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Simplifying 4(2x + 5) = 4(x + 4) Reorder the terms: 4(5 + 2x) = 4(x + 4) (5 * 4 + 2x * 4) = 4(x + 4) (20 + 8x) = 4(x + 4) Reorder the terms: 20 + 8x = 4(4 + x) 20 + 8x = (4 * 4 + x * 4) 20 + 8x = (16 + 4x) Solving 20 + 8x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 20 + 8x + -4x = 16 + 4x + -4x Combine like terms: 8x + -4x = 4x 20 + 4x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 20 + 4x = 16 + 0 20 + 4x = 16 Add '-20' to each side of the equation. 20 + -20 + 4x = 16 + -20 Combine like terms: 20 + -20 = 0 0 + 4x = 16 + -20 4x = 16 + -20 Combine like terms: 16 + -20 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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