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Simplifying -8(x + 5) = -7x + -9 Reorder the terms: -8(5 + x) = -7x + -9 (5 * -8 + x * -8) = -7x + -9 (-40 + -8x) = -7x + -9 Reorder the terms: -40 + -8x = -9 + -7x Solving -40 + -8x = -9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -40 + -8x + 7x = -9 + -7x + 7x Combine like terms: -8x + 7x = -1x -40 + -1x = -9 + -7x + 7x Combine like terms: -7x + 7x = 0 -40 + -1x = -9 + 0 -40 + -1x = -9 Add '40' to each side of the equation. -40 + 40 + -1x = -9 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = -9 + 40 -1x = -9 + 40 Combine like terms: -9 + 40 = 31 -1x = 31 Divide each side by '-1'. x = -31 Simplifying x = -31
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