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Simplifying -101 + 2x = -5x + 46 Reorder the terms: -101 + 2x = 46 + -5x Solving -101 + 2x = 46 + -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. -101 + 2x + 5x = 46 + -5x + 5x Combine like terms: 2x + 5x = 7x -101 + 7x = 46 + -5x + 5x Combine like terms: -5x + 5x = 0 -101 + 7x = 46 + 0 -101 + 7x = 46 Add '101' to each side of the equation. -101 + 101 + 7x = 46 + 101 Combine like terms: -101 + 101 = 0 0 + 7x = 46 + 101 7x = 46 + 101 Combine like terms: 46 + 101 = 147 7x = 147 Divide each side by '7'. x = 21 Simplifying x = 21
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