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Simplifying -1(x + 5) = -8x + -5(x + 5) Reorder the terms: -1(5 + x) = -8x + -5(x + 5) (5 * -1 + x * -1) = -8x + -5(x + 5) (-5 + -1x) = -8x + -5(x + 5) Reorder the terms: -5 + -1x = -8x + -5(5 + x) -5 + -1x = -8x + (5 * -5 + x * -5) -5 + -1x = -8x + (-25 + -5x) Reorder the terms: -5 + -1x = -25 + -8x + -5x Combine like terms: -8x + -5x = -13x -5 + -1x = -25 + -13x Solving -5 + -1x = -25 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -5 + -1x + 13x = -25 + -13x + 13x Combine like terms: -1x + 13x = 12x -5 + 12x = -25 + -13x + 13x Combine like terms: -13x + 13x = 0 -5 + 12x = -25 + 0 -5 + 12x = -25 Add '5' to each side of the equation. -5 + 5 + 12x = -25 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = -25 + 5 12x = -25 + 5 Combine like terms: -25 + 5 = -20 12x = -20 Divide each side by '12'. x = -1.666666667 Simplifying x = -1.666666667
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