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Simplifying -1x + -83 = -6x + 57 Reorder the terms: -83 + -1x = -6x + 57 Reorder the terms: -83 + -1x = 57 + -6x Solving -83 + -1x = 57 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -83 + -1x + 6x = 57 + -6x + 6x Combine like terms: -1x + 6x = 5x -83 + 5x = 57 + -6x + 6x Combine like terms: -6x + 6x = 0 -83 + 5x = 57 + 0 -83 + 5x = 57 Add '83' to each side of the equation. -83 + 83 + 5x = 57 + 83 Combine like terms: -83 + 83 = 0 0 + 5x = 57 + 83 5x = 57 + 83 Combine like terms: 57 + 83 = 140 5x = 140 Divide each side by '5'. x = 28 Simplifying x = 28
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