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Simplifying 10x + 19 + -5x + -46 = 32 + 3x + -27 Reorder the terms: 19 + -46 + 10x + -5x = 32 + 3x + -27 Combine like terms: 19 + -46 = -27 -27 + 10x + -5x = 32 + 3x + -27 Combine like terms: 10x + -5x = 5x -27 + 5x = 32 + 3x + -27 Reorder the terms: -27 + 5x = 32 + -27 + 3x Combine like terms: 32 + -27 = 5 -27 + 5x = 5 + 3x Solving -27 + 5x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -27 + 5x + -3x = 5 + 3x + -3x Combine like terms: 5x + -3x = 2x -27 + 2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -27 + 2x = 5 + 0 -27 + 2x = 5 Add '27' to each side of the equation. -27 + 27 + 2x = 5 + 27 Combine like terms: -27 + 27 = 0 0 + 2x = 5 + 27 2x = 5 + 27 Combine like terms: 5 + 27 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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