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Simplifying 2x + -1(1 + -3x) = 9 + 2(x + -6) 2x + (1 * -1 + -3x * -1) = 9 + 2(x + -6) 2x + (-1 + 3x) = 9 + 2(x + -6) Reorder the terms: -1 + 2x + 3x = 9 + 2(x + -6) Combine like terms: 2x + 3x = 5x -1 + 5x = 9 + 2(x + -6) Reorder the terms: -1 + 5x = 9 + 2(-6 + x) -1 + 5x = 9 + (-6 * 2 + x * 2) -1 + 5x = 9 + (-12 + 2x) Combine like terms: 9 + -12 = -3 -1 + 5x = -3 + 2x Solving -1 + 5x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 5x + -2x = -3 + 2x + -2x Combine like terms: 5x + -2x = 3x -1 + 3x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 3x = -3 + 0 -1 + 3x = -3 Add '1' to each side of the equation. -1 + 1 + 3x = -3 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = -3 + 1 3x = -3 + 1 Combine like terms: -3 + 1 = -2 3x = -2 Divide each side by '3'. x = -0.6666666667 Simplifying x = -0.6666666667
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