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Simplifying 4(4x + 5) = -5x + 41 Reorder the terms: 4(5 + 4x) = -5x + 41 (5 * 4 + 4x * 4) = -5x + 41 (20 + 16x) = -5x + 41 Reorder the terms: 20 + 16x = 41 + -5x Solving 20 + 16x = 41 + -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. 20 + 16x + 5x = 41 + -5x + 5x Combine like terms: 16x + 5x = 21x 20 + 21x = 41 + -5x + 5x Combine like terms: -5x + 5x = 0 20 + 21x = 41 + 0 20 + 21x = 41 Add '-20' to each side of the equation. 20 + -20 + 21x = 41 + -20 Combine like terms: 20 + -20 = 0 0 + 21x = 41 + -20 21x = 41 + -20 Combine like terms: 41 + -20 = 21 21x = 21 Divide each side by '21'. x = 1 Simplifying x = 1
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