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