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Simplifying 3x + 6 = 54 + -9x Reorder the terms: 6 + 3x = 54 + -9x Solving 6 + 3x = 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. 6 + 3x + 9x = 54 + -9x + 9x Combine like terms: 3x + 9x = 12x 6 + 12x = 54 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 12x = 54 + 0 6 + 12x = 54 Add '-6' to each side of the equation. 6 + -6 + 12x = 54 + -6 Combine like terms: 6 + -6 = 0 0 + 12x = 54 + -6 12x = 54 + -6 Combine like terms: 54 + -6 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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