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Simplifying 3(x + 2) + 2x = 2(x + 3) + 3x Reorder the terms: 3(2 + x) + 2x = 2(x + 3) + 3x (2 * 3 + x * 3) + 2x = 2(x + 3) + 3x (6 + 3x) + 2x = 2(x + 3) + 3x Combine like terms: 3x + 2x = 5x 6 + 5x = 2(x + 3) + 3x Reorder the terms: 6 + 5x = 2(3 + x) + 3x 6 + 5x = (3 * 2 + x * 2) + 3x 6 + 5x = (6 + 2x) + 3x Combine like terms: 2x + 3x = 5x 6 + 5x = 6 + 5x Add '-6' to each side of the equation. 6 + -6 + 5x = 6 + -6 + 5x Combine like terms: 6 + -6 = 0 0 + 5x = 6 + -6 + 5x 5x = 6 + -6 + 5x Combine like terms: 6 + -6 = 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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