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Simplifying -8x + 24 = 8(x + -5) Reorder the terms: 24 + -8x = 8(x + -5) Reorder the terms: 24 + -8x = 8(-5 + x) 24 + -8x = (-5 * 8 + x * 8) 24 + -8x = (-40 + 8x) Solving 24 + -8x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 24 + -8x + -8x = -40 + 8x + -8x Combine like terms: -8x + -8x = -16x 24 + -16x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -16x = -40 + 0 24 + -16x = -40 Add '-24' to each side of the equation. 24 + -24 + -16x = -40 + -24 Combine like terms: 24 + -24 = 0 0 + -16x = -40 + -24 -16x = -40 + -24 Combine like terms: -40 + -24 = -64 -16x = -64 Divide each side by '-16'. x = 4 Simplifying x = 4
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