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Simplifying -83 + 2x = -6x + 101 Reorder the terms: -83 + 2x = 101 + -6x Solving -83 + 2x = 101 + -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 + 2x + 6x = 101 + -6x + 6x Combine like terms: 2x + 6x = 8x -83 + 8x = 101 + -6x + 6x Combine like terms: -6x + 6x = 0 -83 + 8x = 101 + 0 -83 + 8x = 101 Add '83' to each side of the equation. -83 + 83 + 8x = 101 + 83 Combine like terms: -83 + 83 = 0 0 + 8x = 101 + 83 8x = 101 + 83 Combine like terms: 101 + 83 = 184 8x = 184 Divide each side by '8'. x = 23 Simplifying x = 23
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