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Simplifying 3(7x + -6) = 9x + 54 Reorder the terms: 3(-6 + 7x) = 9x + 54 (-6 * 3 + 7x * 3) = 9x + 54 (-18 + 21x) = 9x + 54 Reorder the terms: -18 + 21x = 54 + 9x Solving -18 + 21x = 54 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 21x + -9x = 54 + 9x + -9x Combine like terms: 21x + -9x = 12x -18 + 12x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + 12x = 54 + 0 -18 + 12x = 54 Add '18' to each side of the equation. -18 + 18 + 12x = 54 + 18 Combine like terms: -18 + 18 = 0 0 + 12x = 54 + 18 12x = 54 + 18 Combine like terms: 54 + 18 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6
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