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Simplifying -8(x + 5) = -9x Reorder the terms: -8(5 + x) = -9x (5 * -8 + x * -8) = -9x (-40 + -8x) = -9x Solving -40 + -8x = -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 = -9x + 9x Combine like terms: -8x + 9x = 1x -40 + 1x = -9x + 9x Combine like terms: -9x + 9x = 0 -40 + 1x = 0 Add '40' to each side of the equation. -40 + 40 + 1x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 1x = 0 + 40 1x = 0 + 40 Combine like terms: 0 + 40 = 40 1x = 40 Divide each side by '1'. x = 40 Simplifying x = 40
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