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Simplifying -71 + 6x = 97 + -2x Solving -71 + 6x = 97 + -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. -71 + 6x + 2x = 97 + -2x + 2x Combine like terms: 6x + 2x = 8x -71 + 8x = 97 + -2x + 2x Combine like terms: -2x + 2x = 0 -71 + 8x = 97 + 0 -71 + 8x = 97 Add '71' to each side of the equation. -71 + 71 + 8x = 97 + 71 Combine like terms: -71 + 71 = 0 0 + 8x = 97 + 71 8x = 97 + 71 Combine like terms: 97 + 71 = 168 8x = 168 Divide each side by '8'. x = 21 Simplifying x = 21
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