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