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Simplifying -5 + 5(x + -8) = -5x + 5(1 + 7x) Reorder the terms: -5 + 5(-8 + x) = -5x + 5(1 + 7x) -5 + (-8 * 5 + x * 5) = -5x + 5(1 + 7x) -5 + (-40 + 5x) = -5x + 5(1 + 7x) Combine like terms: -5 + -40 = -45 -45 + 5x = -5x + 5(1 + 7x) -45 + 5x = -5x + (1 * 5 + 7x * 5) -45 + 5x = -5x + (5 + 35x) Reorder the terms: -45 + 5x = 5 + -5x + 35x Combine like terms: -5x + 35x = 30x -45 + 5x = 5 + 30x Solving -45 + 5x = 5 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -45 + 5x + -30x = 5 + 30x + -30x Combine like terms: 5x + -30x = -25x -45 + -25x = 5 + 30x + -30x Combine like terms: 30x + -30x = 0 -45 + -25x = 5 + 0 -45 + -25x = 5 Add '45' to each side of the equation. -45 + 45 + -25x = 5 + 45 Combine like terms: -45 + 45 = 0 0 + -25x = 5 + 45 -25x = 5 + 45 Combine like terms: 5 + 45 = 50 -25x = 50 Divide each side by '-25'. x = -2 Simplifying x = -2
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