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Simplifying -1(x + 5) = -11 + 5x Reorder the terms: -1(5 + x) = -11 + 5x (5 * -1 + x * -1) = -11 + 5x (-5 + -1x) = -11 + 5x Solving -5 + -1x = -11 + 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 = -11 + 5x + -5x Combine like terms: -1x + -5x = -6x -5 + -6x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -6x = -11 + 0 -5 + -6x = -11 Add '5' to each side of the equation. -5 + 5 + -6x = -11 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -11 + 5 -6x = -11 + 5 Combine like terms: -11 + 5 = -6 -6x = -6 Divide each side by '-6'. x = 1 Simplifying x = 1
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