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Simplifying 6 + x + -5 = 2x + -1 + 7x Reorder the terms: 6 + -5 + x = 2x + -1 + 7x Combine like terms: 6 + -5 = 1 1 + x = 2x + -1 + 7x Reorder the terms: 1 + x = -1 + 2x + 7x Combine like terms: 2x + 7x = 9x 1 + x = -1 + 9x Solving 1 + x = -1 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 1 + x + -9x = -1 + 9x + -9x Combine like terms: x + -9x = -8x 1 + -8x = -1 + 9x + -9x Combine like terms: 9x + -9x = 0 1 + -8x = -1 + 0 1 + -8x = -1 Add '-1' to each side of the equation. 1 + -1 + -8x = -1 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -1 + -1 -8x = -1 + -1 Combine like terms: -1 + -1 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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