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