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