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Simplifying -1 + 5x = -7x + 83 Reorder the terms: -1 + 5x = 83 + -7x Solving -1 + 5x = 83 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -1 + 5x + 7x = 83 + -7x + 7x Combine like terms: 5x + 7x = 12x -1 + 12x = 83 + -7x + 7x Combine like terms: -7x + 7x = 0 -1 + 12x = 83 + 0 -1 + 12x = 83 Add '1' to each side of the equation. -1 + 1 + 12x = 83 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 83 + 1 12x = 83 + 1 Combine like terms: 83 + 1 = 84 12x = 84 Divide each side by '12'. x = 7 Simplifying x = 7
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