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Simplifying -1(3x + 2) + -1(x + 1) = 3x + -1(4x + 2) Reorder the terms: -1(2 + 3x) + -1(x + 1) = 3x + -1(4x + 2) (2 * -1 + 3x * -1) + -1(x + 1) = 3x + -1(4x + 2) (-2 + -3x) + -1(x + 1) = 3x + -1(4x + 2) Reorder the terms: -2 + -3x + -1(1 + x) = 3x + -1(4x + 2) -2 + -3x + (1 * -1 + x * -1) = 3x + -1(4x + 2) -2 + -3x + (-1 + -1x) = 3x + -1(4x + 2) Reorder the terms: -2 + -1 + -3x + -1x = 3x + -1(4x + 2) Combine like terms: -2 + -1 = -3 -3 + -3x + -1x = 3x + -1(4x + 2) Combine like terms: -3x + -1x = -4x -3 + -4x = 3x + -1(4x + 2) Reorder the terms: -3 + -4x = 3x + -1(2 + 4x) -3 + -4x = 3x + (2 * -1 + 4x * -1) -3 + -4x = 3x + (-2 + -4x) Reorder the terms: -3 + -4x = -2 + 3x + -4x Combine like terms: 3x + -4x = -1x -3 + -4x = -2 + -1x Solving -3 + -4x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -3 + -4x + x = -2 + -1x + x Combine like terms: -4x + x = -3x -3 + -3x = -2 + -1x + x Combine like terms: -1x + x = 0 -3 + -3x = -2 + 0 -3 + -3x = -2 Add '3' to each side of the equation. -3 + 3 + -3x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -2 + 3 -3x = -2 + 3 Combine like terms: -2 + 3 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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