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Simplifying 21x + -21 = 5(4x + 5) + -4 Reorder the terms: -21 + 21x = 5(4x + 5) + -4 Reorder the terms: -21 + 21x = 5(5 + 4x) + -4 -21 + 21x = (5 * 5 + 4x * 5) + -4 -21 + 21x = (25 + 20x) + -4 Reorder the terms: -21 + 21x = 25 + -4 + 20x Combine like terms: 25 + -4 = 21 -21 + 21x = 21 + 20x Solving -21 + 21x = 21 + 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. -21 + 21x + -20x = 21 + 20x + -20x Combine like terms: 21x + -20x = 1x -21 + 1x = 21 + 20x + -20x Combine like terms: 20x + -20x = 0 -21 + 1x = 21 + 0 -21 + 1x = 21 Add '21' to each side of the equation. -21 + 21 + 1x = 21 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = 21 + 21 1x = 21 + 21 Combine like terms: 21 + 21 = 42 1x = 42 Divide each side by '1'. x = 42 Simplifying x = 42
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