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Simplifying 3x + 2 + -5x = 5 + -1(2x + 3) Reorder the terms: 2 + 3x + -5x = 5 + -1(2x + 3) Combine like terms: 3x + -5x = -2x 2 + -2x = 5 + -1(2x + 3) Reorder the terms: 2 + -2x = 5 + -1(3 + 2x) 2 + -2x = 5 + (3 * -1 + 2x * -1) 2 + -2x = 5 + (-3 + -2x) Combine like terms: 5 + -3 = 2 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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