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Simplifying 24(x + -1) = -8(3 + -1x) + 16 Reorder the terms: 24(-1 + x) = -8(3 + -1x) + 16 (-1 * 24 + x * 24) = -8(3 + -1x) + 16 (-24 + 24x) = -8(3 + -1x) + 16 -24 + 24x = (3 * -8 + -1x * -8) + 16 -24 + 24x = (-24 + 8x) + 16 Reorder the terms: -24 + 24x = -24 + 16 + 8x Combine like terms: -24 + 16 = -8 -24 + 24x = -8 + 8x Solving -24 + 24x = -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. -24 + 24x + -8x = -8 + 8x + -8x Combine like terms: 24x + -8x = 16x -24 + 16x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -24 + 16x = -8 + 0 -24 + 16x = -8 Add '24' to each side of the equation. -24 + 24 + 16x = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 16x = -8 + 24 16x = -8 + 24 Combine like terms: -8 + 24 = 16 16x = 16 Divide each side by '16'. x = 1 Simplifying x = 1
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