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Simplifying -83 + x = 79 + -5x Solving -83 + x = 79 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -83 + x + 5x = 79 + -5x + 5x Combine like terms: x + 5x = 6x -83 + 6x = 79 + -5x + 5x Combine like terms: -5x + 5x = 0 -83 + 6x = 79 + 0 -83 + 6x = 79 Add '83' to each side of the equation. -83 + 83 + 6x = 79 + 83 Combine like terms: -83 + 83 = 0 0 + 6x = 79 + 83 6x = 79 + 83 Combine like terms: 79 + 83 = 162 6x = 162 Divide each side by '6'. x = 27 Simplifying x = 27
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