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Simplifying -5(x + 8) = -5(-8 + 5x) Reorder the terms: -5(8 + x) = -5(-8 + 5x) (8 * -5 + x * -5) = -5(-8 + 5x) (-40 + -5x) = -5(-8 + 5x) -40 + -5x = (-8 * -5 + 5x * -5) -40 + -5x = (40 + -25x) Solving -40 + -5x = 40 + -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. -40 + -5x + 25x = 40 + -25x + 25x Combine like terms: -5x + 25x = 20x -40 + 20x = 40 + -25x + 25x Combine like terms: -25x + 25x = 0 -40 + 20x = 40 + 0 -40 + 20x = 40 Add '40' to each side of the equation. -40 + 40 + 20x = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 20x = 40 + 40 20x = 40 + 40 Combine like terms: 40 + 40 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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