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Simplifying -4(x + 8) = -24 + -5x Reorder the terms: -4(8 + x) = -24 + -5x (8 * -4 + x * -4) = -24 + -5x (-32 + -4x) = -24 + -5x Solving -32 + -4x = -24 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -32 + -4x + 5x = -24 + -5x + 5x Combine like terms: -4x + 5x = 1x -32 + 1x = -24 + -5x + 5x Combine like terms: -5x + 5x = 0 -32 + 1x = -24 + 0 -32 + 1x = -24 Add '32' to each side of the equation. -32 + 32 + 1x = -24 + 32 Combine like terms: -32 + 32 = 0 0 + 1x = -24 + 32 1x = -24 + 32 Combine like terms: -24 + 32 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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