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Simplifying 9x + -6(3x + -2) + -17 = -24 + 91 Reorder the terms: 9x + -6(-2 + 3x) + -17 = -24 + 91 9x + (-2 * -6 + 3x * -6) + -17 = -24 + 91 9x + (12 + -18x) + -17 = -24 + 91 Reorder the terms: 12 + -17 + 9x + -18x = -24 + 91 Combine like terms: 12 + -17 = -5 -5 + 9x + -18x = -24 + 91 Combine like terms: 9x + -18x = -9x -5 + -9x = -24 + 91 Combine like terms: -24 + 91 = 67 -5 + -9x = 67 Solving -5 + -9x = 67 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9x = 67 + 5 Combine like terms: -5 + 5 = 0 0 + -9x = 67 + 5 -9x = 67 + 5 Combine like terms: 67 + 5 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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