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Simplifying -78 + 4x = -1x + 27 Reorder the terms: -78 + 4x = 27 + -1x Solving -78 + 4x = 27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -78 + 4x + x = 27 + -1x + x Combine like terms: 4x + x = 5x -78 + 5x = 27 + -1x + x Combine like terms: -1x + x = 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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