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Simplifying 2x + -1 = 5x + -3(x + 1) + 2 Reorder the terms: -1 + 2x = 5x + -3(x + 1) + 2 Reorder the terms: -1 + 2x = 5x + -3(1 + x) + 2 -1 + 2x = 5x + (1 * -3 + x * -3) + 2 -1 + 2x = 5x + (-3 + -3x) + 2 Reorder the terms: -1 + 2x = -3 + 2 + 5x + -3x Combine like terms: -3 + 2 = -1 -1 + 2x = -1 + 5x + -3x Combine like terms: 5x + -3x = 2x -1 + 2x = -1 + 2x Add '1' to each side of the equation. -1 + 1 + 2x = -1 + 1 + 2x Combine like terms: -1 + 1 = 0 0 + 2x = -1 + 1 + 2x 2x = -1 + 1 + 2x Combine like terms: -1 + 1 = 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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