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Simplifying 2(x + -1) = 3x + -1(x + 2) Reorder the terms: 2(-1 + x) = 3x + -1(x + 2) (-1 * 2 + x * 2) = 3x + -1(x + 2) (-2 + 2x) = 3x + -1(x + 2) Reorder the terms: -2 + 2x = 3x + -1(2 + x) -2 + 2x = 3x + (2 * -1 + x * -1) -2 + 2x = 3x + (-2 + -1x) Reorder the terms: -2 + 2x = -2 + 3x + -1x Combine like terms: 3x + -1x = 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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