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