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Simplifying -4(4x + 8) + -5x = -32 + x Reorder the terms: -4(8 + 4x) + -5x = -32 + x (8 * -4 + 4x * -4) + -5x = -32 + x (-32 + -16x) + -5x = -32 + x Combine like terms: -16x + -5x = -21x -32 + -21x = -32 + x Add '32' to each side of the equation. -32 + 32 + -21x = -32 + 32 + x Combine like terms: -32 + 32 = 0 0 + -21x = -32 + 32 + x -21x = -32 + 32 + x Combine like terms: -32 + 32 = 0 -21x = 0 + x -21x = x Solving -21x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21x + -1x = x + -1x Combine like terms: -21x + -1x = -22x -22x = x + -1x Combine like terms: x + -1x = 0 -22x = 0 Divide each side by '-22'. x = 0 Simplifying x = 0
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