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Simplifying 2(x + -1) + -1 + -3(2 + -1x) = 9 + (x + -6) Reorder the terms: 2(-1 + x) + -1 + -3(2 + -1x) = 9 + (x + -6) (-1 * 2 + x * 2) + -1 + -3(2 + -1x) = 9 + (x + -6) (-2 + 2x) + -1 + -3(2 + -1x) = 9 + (x + -6) -2 + 2x + -1 + (2 * -3 + -1x * -3) = 9 + (x + -6) -2 + 2x + -1 + (-6 + 3x) = 9 + (x + -6) Reorder the terms: -2 + -1 + -6 + 2x + 3x = 9 + (x + -6) Combine like terms: -2 + -1 = -3 -3 + -6 + 2x + 3x = 9 + (x + -6) Combine like terms: -3 + -6 = -9 -9 + 2x + 3x = 9 + (x + -6) Combine like terms: 2x + 3x = 5x -9 + 5x = 9 + (x + -6) Reorder the terms: -9 + 5x = 9 + (-6 + x) Remove parenthesis around (-6 + x) -9 + 5x = 9 + -6 + x Combine like terms: 9 + -6 = 3 -9 + 5x = 3 + x Solving -9 + 5x = 3 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 5x + -1x = 3 + x + -1x Combine like terms: 5x + -1x = 4x -9 + 4x = 3 + x + -1x Combine like terms: x + -1x = 0 -9 + 4x = 3 + 0 -9 + 4x = 3 Add '9' to each side of the equation. -9 + 9 + 4x = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 4x = 3 + 9 4x = 3 + 9 Combine like terms: 3 + 9 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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