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Simplifying 2x + -1 = -6x + 71 Reorder the terms: -1 + 2x = -6x + 71 Reorder the terms: -1 + 2x = 71 + -6x Solving -1 + 2x = 71 + -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. -1 + 2x + 6x = 71 + -6x + 6x Combine like terms: 2x + 6x = 8x -1 + 8x = 71 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 8x = 71 + 0 -1 + 8x = 71 Add '1' to each side of the equation. -1 + 1 + 8x = 71 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 71 + 1 8x = 71 + 1 Combine like terms: 71 + 1 = 72 8x = 72 Divide each side by '8'. x = 9 Simplifying x = 9
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