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