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Simplifying 8(x + -7) = -24 + -8x Reorder the terms: 8(-7 + x) = -24 + -8x (-7 * 8 + x * 8) = -24 + -8x (-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 = 32 16x = 32 Divide each side by '16'. x = 2 Simplifying x = 2
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