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Simplifying -1(2x + 6) + -1(9x + -5) = 2 + -1(8x + 1) Reorder the terms: -1(6 + 2x) + -1(9x + -5) = 2 + -1(8x + 1) (6 * -1 + 2x * -1) + -1(9x + -5) = 2 + -1(8x + 1) (-6 + -2x) + -1(9x + -5) = 2 + -1(8x + 1) Reorder the terms: -6 + -2x + -1(-5 + 9x) = 2 + -1(8x + 1) -6 + -2x + (-5 * -1 + 9x * -1) = 2 + -1(8x + 1) -6 + -2x + (5 + -9x) = 2 + -1(8x + 1) Reorder the terms: -6 + 5 + -2x + -9x = 2 + -1(8x + 1) Combine like terms: -6 + 5 = -1 -1 + -2x + -9x = 2 + -1(8x + 1) Combine like terms: -2x + -9x = -11x -1 + -11x = 2 + -1(8x + 1) Reorder the terms: -1 + -11x = 2 + -1(1 + 8x) -1 + -11x = 2 + (1 * -1 + 8x * -1) -1 + -11x = 2 + (-1 + -8x) Combine like terms: 2 + -1 = 1 -1 + -11x = 1 + -8x Solving -1 + -11x = 1 + -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 + -11x + 8x = 1 + -8x + 8x Combine like terms: -11x + 8x = -3x -1 + -3x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -1 + -3x = 1 + 0 -1 + -3x = 1 Add '1' to each side of the equation. -1 + 1 + -3x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 1 + 1 -3x = 1 + 1 Combine like terms: 1 + 1 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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