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