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