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Simplifying 3x + -27 = 2x + 32 Reorder the terms: -27 + 3x = 2x + 32 Reorder the terms: -27 + 3x = 32 + 2x Solving -27 + 3x = 32 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + 3x + -2x = 32 + 2x + -2x Combine like terms: 3x + -2x = 1x -27 + 1x = 32 + 2x + -2x Combine like terms: 2x + -2x = 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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