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Simplifying 32(x + -1) = -8(4 + -1x) + 24 Reorder the terms: 32(-1 + x) = -8(4 + -1x) + 24 (-1 * 32 + x * 32) = -8(4 + -1x) + 24 (-32 + 32x) = -8(4 + -1x) + 24 -32 + 32x = (4 * -8 + -1x * -8) + 24 -32 + 32x = (-32 + 8x) + 24 Reorder the terms: -32 + 32x = -32 + 24 + 8x Combine like terms: -32 + 24 = -8 -32 + 32x = -8 + 8x Solving -32 + 32x = -8 + 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. -32 + 32x + -8x = -8 + 8x + -8x Combine like terms: 32x + -8x = 24x -32 + 24x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 24x = -8 + 0 -32 + 24x = -8 Add '32' to each side of the equation. -32 + 32 + 24x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + 24x = -8 + 32 24x = -8 + 32 Combine like terms: -8 + 32 = 24 24x = 24 Divide each side by '24'. x = 1 Simplifying x = 1
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