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Simplifying 54 + 9x = 3(7x + 6) Reorder the terms: 54 + 9x = 3(6 + 7x) 54 + 9x = (6 * 3 + 7x * 3) 54 + 9x = (18 + 21x) Solving 54 + 9x = 18 + 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 + 9x + -21x = 18 + 21x + -21x Combine like terms: 9x + -21x = -12x 54 + -12x = 18 + 21x + -21x Combine like terms: 21x + -21x = 0 54 + -12x = 18 + 0 54 + -12x = 18 Add '-54' to each side of the equation. 54 + -54 + -12x = 18 + -54 Combine like terms: 54 + -54 = 0 0 + -12x = 18 + -54 -12x = 18 + -54 Combine like terms: 18 + -54 = -36 -12x = -36 Divide each side by '-12'. x = 3 Simplifying x = 3
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