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Simplifying 17 + -6x = 5(x + -1) Reorder the terms: 17 + -6x = 5(-1 + x) 17 + -6x = (-1 * 5 + x * 5) 17 + -6x = (-5 + 5x) Solving 17 + -6x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 17 + -6x + -5x = -5 + 5x + -5x Combine like terms: -6x + -5x = -11x 17 + -11x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 17 + -11x = -5 + 0 17 + -11x = -5 Add '-17' to each side of the equation. 17 + -17 + -11x = -5 + -17 Combine like terms: 17 + -17 = 0 0 + -11x = -5 + -17 -11x = -5 + -17 Combine like terms: -5 + -17 = -22 -11x = -22 Divide each side by '-11'. x = 2 Simplifying x = 2
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