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Simplifying 14x + -4(2 + -8x) = 24x + -1(3x + 8) 14x + (2 * -4 + -8x * -4) = 24x + -1(3x + 8) 14x + (-8 + 32x) = 24x + -1(3x + 8) Reorder the terms: -8 + 14x + 32x = 24x + -1(3x + 8) Combine like terms: 14x + 32x = 46x -8 + 46x = 24x + -1(3x + 8) Reorder the terms: -8 + 46x = 24x + -1(8 + 3x) -8 + 46x = 24x + (8 * -1 + 3x * -1) -8 + 46x = 24x + (-8 + -3x) Reorder the terms: -8 + 46x = -8 + 24x + -3x Combine like terms: 24x + -3x = 21x -8 + 46x = -8 + 21x Add '8' to each side of the equation. -8 + 8 + 46x = -8 + 8 + 21x Combine like terms: -8 + 8 = 0 0 + 46x = -8 + 8 + 21x 46x = -8 + 8 + 21x Combine like terms: -8 + 8 = 0 46x = 0 + 21x 46x = 21x Solving 46x = 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. 46x + -21x = 21x + -21x Combine like terms: 46x + -21x = 25x 25x = 21x + -21x Combine like terms: 21x + -21x = 0 25x = 0 Divide each side by '25'. x = 0 Simplifying x = 0
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