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Simplifying 6(5x + 9) = 21x Reorder the terms: 6(9 + 5x) = 21x (9 * 6 + 5x * 6) = 21x (54 + 30x) = 21x Solving 54 + 30x = 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 54 + 30x + -21x = 21x + -21x Combine like terms: 30x + -21x = 9x 54 + 9x = 21x + -21x Combine like terms: 21x + -21x = 0 54 + 9x = 0 Add '-54' to each side of the equation. 54 + -54 + 9x = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 9x = 0 + -54 9x = 0 + -54 Combine like terms: 0 + -54 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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