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Simplifying 9x + -6(12 + -3x) = 171 9x + (12 * -6 + -3x * -6) = 171 9x + (-72 + 18x) = 171 Reorder the terms: -72 + 9x + 18x = 171 Combine like terms: 9x + 18x = 27x -72 + 27x = 171 Solving -72 + 27x = 171 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 27x = 171 + 72 Combine like terms: -72 + 72 = 0 0 + 27x = 171 + 72 27x = 171 + 72 Combine like terms: 171 + 72 = 243 27x = 243 Divide each side by '27'. x = 9 Simplifying x = 9
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