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Simplifying -4x + -17 = -1(5 + 6x) Reorder the terms: -17 + -4x = -1(5 + 6x) -17 + -4x = (5 * -1 + 6x * -1) -17 + -4x = (-5 + -6x) Solving -17 + -4x = -5 + -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 + -4x + 6x = -5 + -6x + 6x Combine like terms: -4x + 6x = 2x -17 + 2x = -5 + -6x + 6x Combine like terms: -6x + 6x = 0 -17 + 2x = -5 + 0 -17 + 2x = -5 Add '17' to each side of the equation. -17 + 17 + 2x = -5 + 17 Combine like terms: -17 + 17 = 0 0 + 2x = -5 + 17 2x = -5 + 17 Combine like terms: -5 + 17 = 12 2x = 12 Divide each side by '2'. x = 6 Simplifying x = 6
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