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Simplifying 21x + -1 = 4(5x + 3) + -11 Reorder the terms: -1 + 21x = 4(5x + 3) + -11 Reorder the terms: -1 + 21x = 4(3 + 5x) + -11 -1 + 21x = (3 * 4 + 5x * 4) + -11 -1 + 21x = (12 + 20x) + -11 Reorder the terms: -1 + 21x = 12 + -11 + 20x Combine like terms: 12 + -11 = 1 -1 + 21x = 1 + 20x Solving -1 + 21x = 1 + 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. -1 + 21x + -20x = 1 + 20x + -20x Combine like terms: 21x + -20x = 1x -1 + 1x = 1 + 20x + -20x Combine like terms: 20x + -20x = 0 -1 + 1x = 1 + 0 -1 + 1x = 1 Add '1' to each side of the equation. -1 + 1 + 1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 1 + 1 1x = 1 + 1 Combine like terms: 1 + 1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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