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Simplifying 9 + 5(x + -8) = 9 + -5(x + -1) Reorder the terms: 9 + 5(-8 + x) = 9 + -5(x + -1) 9 + (-8 * 5 + x * 5) = 9 + -5(x + -1) 9 + (-40 + 5x) = 9 + -5(x + -1) Combine like terms: 9 + -40 = -31 -31 + 5x = 9 + -5(x + -1) Reorder the terms: -31 + 5x = 9 + -5(-1 + x) -31 + 5x = 9 + (-1 * -5 + x * -5) -31 + 5x = 9 + (5 + -5x) Combine like terms: 9 + 5 = 14 -31 + 5x = 14 + -5x Solving -31 + 5x = 14 + -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. -31 + 5x + 5x = 14 + -5x + 5x Combine like terms: 5x + 5x = 10x -31 + 10x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -31 + 10x = 14 + 0 -31 + 10x = 14 Add '31' to each side of the equation. -31 + 31 + 10x = 14 + 31 Combine like terms: -31 + 31 = 0 0 + 10x = 14 + 31 10x = 14 + 31 Combine like terms: 14 + 31 = 45 10x = 45 Divide each side by '10'. x = 4.5 Simplifying x = 4.5
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