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Simplifying 21x + -20 = 5(4x + 5) + -5 Reorder the terms: -20 + 21x = 5(4x + 5) + -5 Reorder the terms: -20 + 21x = 5(5 + 4x) + -5 -20 + 21x = (5 * 5 + 4x * 5) + -5 -20 + 21x = (25 + 20x) + -5 Reorder the terms: -20 + 21x = 25 + -5 + 20x Combine like terms: 25 + -5 = 20 -20 + 21x = 20 + 20x Solving -20 + 21x = 20 + 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. -20 + 21x + -20x = 20 + 20x + -20x Combine like terms: 21x + -20x = 1x -20 + 1x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 -20 + 1x = 20 + 0 -20 + 1x = 20 Add '20' to each side of the equation. -20 + 20 + 1x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + 1x = 20 + 20 1x = 20 + 20 Combine like terms: 20 + 20 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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