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Simplifying 4x + 5(x + -5) = 5(x + -8) Reorder the terms: 4x + 5(-5 + x) = 5(x + -8) 4x + (-5 * 5 + x * 5) = 5(x + -8) 4x + (-25 + 5x) = 5(x + -8) Reorder the terms: -25 + 4x + 5x = 5(x + -8) Combine like terms: 4x + 5x = 9x -25 + 9x = 5(x + -8) Reorder the terms: -25 + 9x = 5(-8 + x) -25 + 9x = (-8 * 5 + x * 5) -25 + 9x = (-40 + 5x) Solving -25 + 9x = -40 + 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. -25 + 9x + -5x = -40 + 5x + -5x Combine like terms: 9x + -5x = 4x -25 + 4x = -40 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + 4x = -40 + 0 -25 + 4x = -40 Add '25' to each side of the equation. -25 + 25 + 4x = -40 + 25 Combine like terms: -25 + 25 = 0 0 + 4x = -40 + 25 4x = -40 + 25 Combine like terms: -40 + 25 = -15 4x = -15 Divide each side by '4'. x = -3.75 Simplifying x = -3.75
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