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Simplifying 6x + -3 + -2x + 1 = -1(x + 1) + (5x + -1) Reorder the terms: -3 + 1 + 6x + -2x = -1(x + 1) + (5x + -1) Combine like terms: -3 + 1 = -2 -2 + 6x + -2x = -1(x + 1) + (5x + -1) Combine like terms: 6x + -2x = 4x -2 + 4x = -1(x + 1) + (5x + -1) Reorder the terms: -2 + 4x = -1(1 + x) + (5x + -1) -2 + 4x = (1 * -1 + x * -1) + (5x + -1) -2 + 4x = (-1 + -1x) + (5x + -1) Reorder the terms: -2 + 4x = -1 + -1x + (-1 + 5x) Remove parenthesis around (-1 + 5x) -2 + 4x = -1 + -1x + -1 + 5x Reorder the terms: -2 + 4x = -1 + -1 + -1x + 5x Combine like terms: -1 + -1 = -2 -2 + 4x = -2 + -1x + 5x Combine like terms: -1x + 5x = 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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