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Simplifying 21x + -11 = 4(5x + 4) + -5 Reorder the terms: -11 + 21x = 4(5x + 4) + -5 Reorder the terms: -11 + 21x = 4(4 + 5x) + -5 -11 + 21x = (4 * 4 + 5x * 4) + -5 -11 + 21x = (16 + 20x) + -5 Reorder the terms: -11 + 21x = 16 + -5 + 20x Combine like terms: 16 + -5 = 11 -11 + 21x = 11 + 20x Solving -11 + 21x = 11 + 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. -11 + 21x + -20x = 11 + 20x + -20x Combine like terms: 21x + -20x = 1x -11 + 1x = 11 + 20x + -20x Combine like terms: 20x + -20x = 0 -11 + 1x = 11 + 0 -11 + 1x = 11 Add '11' to each side of the equation. -11 + 11 + 1x = 11 + 11 Combine like terms: -11 + 11 = 0 0 + 1x = 11 + 11 1x = 11 + 11 Combine like terms: 11 + 11 = 22 1x = 22 Divide each side by '1'. x = 22 Simplifying x = 22
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