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