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Simplifying 5x + -5 + 32x + 48 = 6x + -21 + -1x Reorder the terms: -5 + 48 + 5x + 32x = 6x + -21 + -1x Combine like terms: -5 + 48 = 43 43 + 5x + 32x = 6x + -21 + -1x Combine like terms: 5x + 32x = 37x 43 + 37x = 6x + -21 + -1x Reorder the terms: 43 + 37x = -21 + 6x + -1x Combine like terms: 6x + -1x = 5x 43 + 37x = -21 + 5x Solving 43 + 37x = -21 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 43 + 37x + -5x = -21 + 5x + -5x Combine like terms: 37x + -5x = 32x 43 + 32x = -21 + 5x + -5x Combine like terms: 5x + -5x = 0 43 + 32x = -21 + 0 43 + 32x = -21 Add '-43' to each side of the equation. 43 + -43 + 32x = -21 + -43 Combine like terms: 43 + -43 = 0 0 + 32x = -21 + -43 32x = -21 + -43 Combine like terms: -21 + -43 = -64 32x = -64 Divide each side by '32'. x = -2 Simplifying x = -2
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