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Simplifying 3x + 6 = x + 2(3 + x) Reorder the terms: 6 + 3x = x + 2(3 + x) 6 + 3x = x + (3 * 2 + x * 2) 6 + 3x = x + (6 + 2x) Reorder the terms: 6 + 3x = 6 + x + 2x Combine like terms: x + 2x = 3x 6 + 3x = 6 + 3x Add '-6' to each side of the equation. 6 + -6 + 3x = 6 + -6 + 3x Combine like terms: 6 + -6 = 0 0 + 3x = 6 + -6 + 3x 3x = 6 + -6 + 3x Combine like terms: 6 + -6 = 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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