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Simplifying -8(x + 5) = -8x + -5(x + 5) Reorder the terms: -8(5 + x) = -8x + -5(x + 5) (5 * -8 + x * -8) = -8x + -5(x + 5) (-40 + -8x) = -8x + -5(x + 5) Reorder the terms: -40 + -8x = -8x + -5(5 + x) -40 + -8x = -8x + (5 * -5 + x * -5) -40 + -8x = -8x + (-25 + -5x) Reorder the terms: -40 + -8x = -25 + -8x + -5x Combine like terms: -8x + -5x = -13x -40 + -8x = -25 + -13x Solving -40 + -8x = -25 + -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. -40 + -8x + 13x = -25 + -13x + 13x Combine like terms: -8x + 13x = 5x -40 + 5x = -25 + -13x + 13x Combine like terms: -13x + 13x = 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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