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Simplifying 17x + (-6) = -24 + 11x 17x + -6 = -24 + 11x Reorder the terms: -6 + 17x = -24 + 11x Solving -6 + 17x = -24 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -6 + 17x + -11x = -24 + 11x + -11x Combine like terms: 17x + -11x = 6x -6 + 6x = -24 + 11x + -11x Combine like terms: 11x + -11x = 0 -6 + 6x = -24 + 0 -6 + 6x = -24 Add '6' to each side of the equation. -6 + 6 + 6x = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -24 + 6 6x = -24 + 6 Combine like terms: -24 + 6 = -18 6x = -18 Divide each side by '6'. x = -3 Simplifying x = -3
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