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Simplifying 5x + 5(x + -8) = 5(x + -5) Reorder the terms: 5x + 5(-8 + x) = 5(x + -5) 5x + (-8 * 5 + x * 5) = 5(x + -5) 5x + (-40 + 5x) = 5(x + -5) Reorder the terms: -40 + 5x + 5x = 5(x + -5) Combine like terms: 5x + 5x = 10x -40 + 10x = 5(x + -5) Reorder the terms: -40 + 10x = 5(-5 + x) -40 + 10x = (-5 * 5 + x * 5) -40 + 10x = (-25 + 5x) Solving -40 + 10x = -25 + 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. -40 + 10x + -5x = -25 + 5x + -5x Combine like terms: 10x + -5x = 5x -40 + 5x = -25 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 5x = -25 + 0 -40 + 5x = -25 Add '40' to each side of the equation. -40 + 40 + 5x = -25 + 40 Combine like terms: -40 + 40 = 0 0 + 5x = -25 + 40 5x = -25 + 40 Combine like terms: -25 + 40 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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