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Simplifying x + -7x = 2x + 1 Combine like terms: x + -7x = -6x -6x = 2x + 1 Reorder the terms: -6x = 1 + 2x Solving -6x = 1 + 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. -6x + -2x = 1 + 2x + -2x Combine like terms: -6x + -2x = -8x -8x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -8x = 1 + 0 -8x = 1 Divide each side by '-8'. x = -0.125 Simplifying x = -0.125
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