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