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Simplifying 6x + -1(2x + -1) = 9x + (2 + -1x) Reorder the terms: 6x + -1(-1 + 2x) = 9x + (2 + -1x) 6x + (-1 * -1 + 2x * -1) = 9x + (2 + -1x) 6x + (1 + -2x) = 9x + (2 + -1x) Reorder the terms: 1 + 6x + -2x = 9x + (2 + -1x) Combine like terms: 6x + -2x = 4x 1 + 4x = 9x + (2 + -1x) Remove parenthesis around (2 + -1x) 1 + 4x = 9x + 2 + -1x Reorder the terms: 1 + 4x = 2 + 9x + -1x Combine like terms: 9x + -1x = 8x 1 + 4x = 2 + 8x Solving 1 + 4x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 4x + -8x = 2 + 8x + -8x Combine like terms: 4x + -8x = -4x 1 + -4x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + -4x = 2 + 0 1 + -4x = 2 Add '-1' to each side of the equation. 1 + -1 + -4x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 2 + -1 -4x = 2 + -1 Combine like terms: 2 + -1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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