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