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Simplifying 6x + 6(2x + -9) = 54 Reorder the terms: 6x + 6(-9 + 2x) = 54 6x + (-9 * 6 + 2x * 6) = 54 6x + (-54 + 12x) = 54 Reorder the terms: -54 + 6x + 12x = 54 Combine like terms: 6x + 12x = 18x -54 + 18x = 54 Solving -54 + 18x = 54 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 18x = 54 + 54 Combine like terms: -54 + 54 = 0 0 + 18x = 54 + 54 18x = 54 + 54 Combine like terms: 54 + 54 = 108 18x = 108 Divide each side by '18'. x = 6 Simplifying x = 6
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