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Simplifying x + (3(x + -2) + -3) = 2 + -1(3 + -1x) Reorder the terms: x + (3(-2 + x) + -3) = 2 + -1(3 + -1x) x + ((-2 * 3 + x * 3) + -3) = 2 + -1(3 + -1x) x + ((-6 + 3x) + -3) = 2 + -1(3 + -1x) Reorder the terms: x + (-6 + -3 + 3x) = 2 + -1(3 + -1x) Combine like terms: -6 + -3 = -9 x + (-9 + 3x) = 2 + -1(3 + -1x) Remove parenthesis around (-9 + 3x) x + -9 + 3x = 2 + -1(3 + -1x) Reorder the terms: -9 + x + 3x = 2 + -1(3 + -1x) Combine like terms: x + 3x = 4x -9 + 4x = 2 + -1(3 + -1x) -9 + 4x = 2 + (3 * -1 + -1x * -1) -9 + 4x = 2 + (-3 + 1x) Combine like terms: 2 + -3 = -1 -9 + 4x = -1 + 1x Solving -9 + 4x = -1 + 1x 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 + 4x + -1x = -1 + 1x + -1x Combine like terms: 4x + -1x = 3x -9 + 3x = -1 + 1x + -1x Combine like terms: 1x + -1x = 0 -9 + 3x = -1 + 0 -9 + 3x = -1 Add '9' to each side of the equation. -9 + 9 + 3x = -1 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -1 + 9 3x = -1 + 9 Combine like terms: -1 + 9 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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