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Simplifying 6x + 17 = -24 + -6x Reorder the terms: 17 + 6x = -24 + -6x Solving 17 + 6x = -24 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 17 + 6x + 6x = -24 + -6x + 6x Combine like terms: 6x + 6x = 12x 17 + 12x = -24 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 12x = -24 + 0 17 + 12x = -24 Add '-17' to each side of the equation. 17 + -17 + 12x = -24 + -17 Combine like terms: 17 + -17 = 0 0 + 12x = -24 + -17 12x = -24 + -17 Combine like terms: -24 + -17 = -41 12x = -41 Divide each side by '12'. x = -3.416666667 Simplifying x = -3.416666667
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