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Simplifying -8(x + 5) = -8x + -5(x + 8) Reorder the terms: -8(5 + x) = -8x + -5(x + 8) (5 * -8 + x * -8) = -8x + -5(x + 8) (-40 + -8x) = -8x + -5(x + 8) Reorder the terms: -40 + -8x = -8x + -5(8 + x) -40 + -8x = -8x + (8 * -5 + x * -5) -40 + -8x = -8x + (-40 + -5x) Reorder the terms: -40 + -8x = -40 + -8x + -5x Combine like terms: -8x + -5x = -13x -40 + -8x = -40 + -13x Add '40' to each side of the equation. -40 + 40 + -8x = -40 + 40 + -13x Combine like terms: -40 + 40 = 0 0 + -8x = -40 + 40 + -13x -8x = -40 + 40 + -13x Combine like terms: -40 + 40 = 0 -8x = 0 + -13x -8x = -13x Solving -8x = -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -8x + 13x = -13x + 13x Combine like terms: -8x + 13x = 5x 5x = -13x + 13x Combine like terms: -13x + 13x = 0 5x = 0 Divide each side by '5'. x = 0 Simplifying x = 0
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