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Simplifying 21x + -9 = 4(5x + 5) + -11 Reorder the terms: -9 + 21x = 4(5x + 5) + -11 Reorder the terms: -9 + 21x = 4(5 + 5x) + -11 -9 + 21x = (5 * 4 + 5x * 4) + -11 -9 + 21x = (20 + 20x) + -11 Reorder the terms: -9 + 21x = 20 + -11 + 20x Combine like terms: 20 + -11 = 9 -9 + 21x = 9 + 20x Solving -9 + 21x = 9 + 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. -9 + 21x + -20x = 9 + 20x + -20x Combine like terms: 21x + -20x = 1x -9 + 1x = 9 + 20x + -20x Combine like terms: 20x + -20x = 0 -9 + 1x = 9 + 0 -9 + 1x = 9 Add '9' to each side of the equation. -9 + 9 + 1x = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 9 + 9 1x = 9 + 9 Combine like terms: 9 + 9 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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