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Simplifying 6x + -27 = 5x + 32 Reorder the terms: -27 + 6x = 5x + 32 Reorder the terms: -27 + 6x = 32 + 5x Solving -27 + 6x = 32 + 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. -27 + 6x + -5x = 32 + 5x + -5x Combine like terms: 6x + -5x = 1x -27 + 1x = 32 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 1x = 32 + 0 -27 + 1x = 32 Add '27' to each side of the equation. -27 + 27 + 1x = 32 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = 32 + 27 1x = 32 + 27 Combine like terms: 32 + 27 = 59 1x = 59 Divide each side by '1'. x = 59 Simplifying x = 59
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