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Simplifying 3x + 2 + -1(4x + -1 + -9x) = 6x + -1 Reorder the terms: 3x + 2 + -1(-1 + 4x + -9x) = 6x + -1 Combine like terms: 4x + -9x = -5x 3x + 2 + -1(-1 + -5x) = 6x + -1 3x + 2 + (-1 * -1 + -5x * -1) = 6x + -1 3x + 2 + (1 + 5x) = 6x + -1 Reorder the terms: 2 + 1 + 3x + 5x = 6x + -1 Combine like terms: 2 + 1 = 3 3 + 3x + 5x = 6x + -1 Combine like terms: 3x + 5x = 8x 3 + 8x = 6x + -1 Reorder the terms: 3 + 8x = -1 + 6x Solving 3 + 8x = -1 + 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. 3 + 8x + -6x = -1 + 6x + -6x Combine like terms: 8x + -6x = 2x 3 + 2x = -1 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 2x = -1 + 0 3 + 2x = -1 Add '-3' to each side of the equation. 3 + -3 + 2x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -1 + -3 2x = -1 + -3 Combine like terms: -1 + -3 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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