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Simplifying x + 2(x + 4) = 2 + 3(x + 2) Reorder the terms: x + 2(4 + x) = 2 + 3(x + 2) x + (4 * 2 + x * 2) = 2 + 3(x + 2) x + (8 + 2x) = 2 + 3(x + 2) Reorder the terms: 8 + x + 2x = 2 + 3(x + 2) Combine like terms: x + 2x = 3x 8 + 3x = 2 + 3(x + 2) Reorder the terms: 8 + 3x = 2 + 3(2 + x) 8 + 3x = 2 + (2 * 3 + x * 3) 8 + 3x = 2 + (6 + 3x) Combine like terms: 2 + 6 = 8 8 + 3x = 8 + 3x Add '-8' to each side of the equation. 8 + -8 + 3x = 8 + -8 + 3x Combine like terms: 8 + -8 = 0 0 + 3x = 8 + -8 + 3x 3x = 8 + -8 + 3x Combine like terms: 8 + -8 = 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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