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Simplifying -3x + -6(-2x + -9) = 117 Reorder the terms: -3x + -6(-9 + -2x) = 117 -3x + (-9 * -6 + -2x * -6) = 117 -3x + (54 + 12x) = 117 Reorder the terms: 54 + -3x + 12x = 117 Combine like terms: -3x + 12x = 9x 54 + 9x = 117 Solving 54 + 9x = 117 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 + 9x = 117 + -54 Combine like terms: 54 + -54 = 0 0 + 9x = 117 + -54 9x = 117 + -54 Combine like terms: 117 + -54 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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