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Simplifying -78 + 2x = 27 + -3x Solving -78 + 2x = 27 + -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. -78 + 2x + 3x = 27 + -3x + 3x Combine like terms: 2x + 3x = 5x -78 + 5x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 -78 + 5x = 27 + 0 -78 + 5x = 27 Add '78' to each side of the equation. -78 + 78 + 5x = 27 + 78 Combine like terms: -78 + 78 = 0 0 + 5x = 27 + 78 5x = 27 + 78 Combine like terms: 27 + 78 = 105 5x = 105 Divide each side by '5'. x = 21 Simplifying x = 21
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