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Simplifying -83 + 5x = -2x + 78 Reorder the terms: -83 + 5x = 78 + -2x Solving -83 + 5x = 78 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -83 + 5x + 2x = 78 + -2x + 2x Combine like terms: 5x + 2x = 7x -83 + 7x = 78 + -2x + 2x Combine like terms: -2x + 2x = 0 -83 + 7x = 78 + 0 -83 + 7x = 78 Add '83' to each side of the equation. -83 + 83 + 7x = 78 + 83 Combine like terms: -83 + 83 = 0 0 + 7x = 78 + 83 7x = 78 + 83 Combine like terms: 78 + 83 = 161 7x = 161 Divide each side by '7'. x = 23 Simplifying x = 23
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