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