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Simplifying -1(3x + -2) + -1(x + 4) = -1(2x + -2) + -1(2x + 4) Reorder the terms: -1(-2 + 3x) + -1(x + 4) = -1(2x + -2) + -1(2x + 4) (-2 * -1 + 3x * -1) + -1(x + 4) = -1(2x + -2) + -1(2x + 4) (2 + -3x) + -1(x + 4) = -1(2x + -2) + -1(2x + 4) Reorder the terms: 2 + -3x + -1(4 + x) = -1(2x + -2) + -1(2x + 4) 2 + -3x + (4 * -1 + x * -1) = -1(2x + -2) + -1(2x + 4) 2 + -3x + (-4 + -1x) = -1(2x + -2) + -1(2x + 4) Reorder the terms: 2 + -4 + -3x + -1x = -1(2x + -2) + -1(2x + 4) Combine like terms: 2 + -4 = -2 -2 + -3x + -1x = -1(2x + -2) + -1(2x + 4) Combine like terms: -3x + -1x = -4x -2 + -4x = -1(2x + -2) + -1(2x + 4) Reorder the terms: -2 + -4x = -1(-2 + 2x) + -1(2x + 4) -2 + -4x = (-2 * -1 + 2x * -1) + -1(2x + 4) -2 + -4x = (2 + -2x) + -1(2x + 4) Reorder the terms: -2 + -4x = 2 + -2x + -1(4 + 2x) -2 + -4x = 2 + -2x + (4 * -1 + 2x * -1) -2 + -4x = 2 + -2x + (-4 + -2x) Reorder the terms: -2 + -4x = 2 + -4 + -2x + -2x Combine like terms: 2 + -4 = -2 -2 + -4x = -2 + -2x + -2x Combine like terms: -2x + -2x = -4x -2 + -4x = -2 + -4x Add '2' to each side of the equation. -2 + 2 + -4x = -2 + 2 + -4x Combine like terms: -2 + 2 = 0 0 + -4x = -2 + 2 + -4x -4x = -2 + 2 + -4x Combine like terms: -2 + 2 = 0 -4x = 0 + -4x -4x = -4x Add '4x' to each side of the equation. -4x + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 0 = -4x + 4x Combine like terms: -4x + 4x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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