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Simplifying -8(x + 7) = 8x + 24 Reorder the terms: -8(7 + x) = 8x + 24 (7 * -8 + x * -8) = 8x + 24 (-56 + -8x) = 8x + 24 Reorder the terms: -56 + -8x = 24 + 8x Solving -56 + -8x = 24 + 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. -56 + -8x + -8x = 24 + 8x + -8x Combine like terms: -8x + -8x = -16x -56 + -16x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 -56 + -16x = 24 + 0 -56 + -16x = 24 Add '56' to each side of the equation. -56 + 56 + -16x = 24 + 56 Combine like terms: -56 + 56 = 0 0 + -16x = 24 + 56 -16x = 24 + 56 Combine like terms: 24 + 56 = 80 -16x = 80 Divide each side by '-16'. x = -5 Simplifying x = -5
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