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Simplifying 5(3x + -3) + 9 + -3x = 54 Reorder the terms: 5(-3 + 3x) + 9 + -3x = 54 (-3 * 5 + 3x * 5) + 9 + -3x = 54 (-15 + 15x) + 9 + -3x = 54 Reorder the terms: -15 + 9 + 15x + -3x = 54 Combine like terms: -15 + 9 = -6 -6 + 15x + -3x = 54 Combine like terms: 15x + -3x = 12x -6 + 12x = 54 Solving -6 + 12x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. 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 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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