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Simplifying 3(4x + 3) = 54 + 9x Reorder the terms: 3(3 + 4x) = 54 + 9x (3 * 3 + 4x * 3) = 54 + 9x (9 + 12x) = 54 + 9x Solving 9 + 12x = 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. 9 + 12x + -9x = 54 + 9x + -9x Combine like terms: 12x + -9x = 3x 9 + 3x = 54 + 9x + -9x Combine like terms: 9x + -9x = 0 9 + 3x = 54 + 0 9 + 3x = 54 Add '-9' to each side of the equation. 9 + -9 + 3x = 54 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 54 + -9 3x = 54 + -9 Combine like terms: 54 + -9 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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