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Simplifying 32(x + -1) = 8(4 + -1x) + 24x Reorder the terms: 32(-1 + x) = 8(4 + -1x) + 24x (-1 * 32 + x * 32) = 8(4 + -1x) + 24x (-32 + 32x) = 8(4 + -1x) + 24x -32 + 32x = (4 * 8 + -1x * 8) + 24x -32 + 32x = (32 + -8x) + 24x Combine like terms: -8x + 24x = 16x -32 + 32x = 32 + 16x Solving -32 + 32x = 32 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -32 + 32x + -16x = 32 + 16x + -16x Combine like terms: 32x + -16x = 16x -32 + 16x = 32 + 16x + -16x Combine like terms: 16x + -16x = 0 -32 + 16x = 32 + 0 -32 + 16x = 32 Add '32' to each side of the equation. -32 + 32 + 16x = 32 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 32 + 32 16x = 32 + 32 Combine like terms: 32 + 32 = 64 16x = 64 Divide each side by '16'. x = 4 Simplifying x = 4
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