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Simplifying 25x + 14 + -1(3x + -8) = 9x + -1(6x + 3) + -4x + (2 + 22x) Reorder the terms: 25x + 14 + -1(-8 + 3x) = 9x + -1(6x + 3) + -4x + (2 + 22x) 25x + 14 + (-8 * -1 + 3x * -1) = 9x + -1(6x + 3) + -4x + (2 + 22x) 25x + 14 + (8 + -3x) = 9x + -1(6x + 3) + -4x + (2 + 22x) Reorder the terms: 14 + 8 + 25x + -3x = 9x + -1(6x + 3) + -4x + (2 + 22x) Combine like terms: 14 + 8 = 22 22 + 25x + -3x = 9x + -1(6x + 3) + -4x + (2 + 22x) Combine like terms: 25x + -3x = 22x 22 + 22x = 9x + -1(6x + 3) + -4x + (2 + 22x) Reorder the terms: 22 + 22x = 9x + -1(3 + 6x) + -4x + (2 + 22x) 22 + 22x = 9x + (3 * -1 + 6x * -1) + -4x + (2 + 22x) 22 + 22x = 9x + (-3 + -6x) + -4x + (2 + 22x) Remove parenthesis around (2 + 22x) 22 + 22x = 9x + -3 + -6x + -4x + 2 + 22x Reorder the terms: 22 + 22x = -3 + 2 + 9x + -6x + -4x + 22x Combine like terms: -3 + 2 = -1 22 + 22x = -1 + 9x + -6x + -4x + 22x Combine like terms: 9x + -6x = 3x 22 + 22x = -1 + 3x + -4x + 22x Combine like terms: 3x + -4x = -1x 22 + 22x = -1 + -1x + 22x Combine like terms: -1x + 22x = 21x 22 + 22x = -1 + 21x Solving 22 + 22x = -1 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 22 + 22x + -21x = -1 + 21x + -21x Combine like terms: 22x + -21x = 1x 22 + 1x = -1 + 21x + -21x Combine like terms: 21x + -21x = 0 22 + 1x = -1 + 0 22 + 1x = -1 Add '-22' to each side of the equation. 22 + -22 + 1x = -1 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = -1 + -22 1x = -1 + -22 Combine like terms: -1 + -22 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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