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