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Simplifying -8(x + 5) = -8x + -1(x + 5) Reorder the terms: -8(5 + x) = -8x + -1(x + 5) (5 * -8 + x * -8) = -8x + -1(x + 5) (-40 + -8x) = -8x + -1(x + 5) Reorder the terms: -40 + -8x = -8x + -1(5 + x) -40 + -8x = -8x + (5 * -1 + x * -1) -40 + -8x = -8x + (-5 + -1x) Reorder the terms: -40 + -8x = -5 + -8x + -1x Combine like terms: -8x + -1x = -9x -40 + -8x = -5 + -9x Solving -40 + -8x = -5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -40 + -8x + 9x = -5 + -9x + 9x Combine like terms: -8x + 9x = 1x -40 + 1x = -5 + -9x + 9x Combine like terms: -9x + 9x = 0 -40 + 1x = -5 + 0 -40 + 1x = -5 Add '40' to each side of the equation. -40 + 40 + 1x = -5 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = -5 + 40 1x = -5 + 40 Combine like terms: -5 + 40 = 35 1x = 35 Divide each side by '1'. x = 35 Simplifying x = 35
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