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Simplifying 25(x + -1) = -8(3 + -1x) + 16x Reorder the terms: 25(-1 + x) = -8(3 + -1x) + 16x (-1 * 25 + x * 25) = -8(3 + -1x) + 16x (-25 + 25x) = -8(3 + -1x) + 16x -25 + 25x = (3 * -8 + -1x * -8) + 16x -25 + 25x = (-24 + 8x) + 16x Combine like terms: 8x + 16x = 24x -25 + 25x = -24 + 24x Solving -25 + 25x = -24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -25 + 25x + -24x = -24 + 24x + -24x Combine like terms: 25x + -24x = 1x -25 + 1x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 -25 + 1x = -24 + 0 -25 + 1x = -24 Add '25' to each side of the equation. -25 + 25 + 1x = -24 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = -24 + 25 1x = -24 + 25 Combine like terms: -24 + 25 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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