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Simplifying 3(x + 1) + 1 = x + 2(x + 2) Reorder the terms: 3(1 + x) + 1 = x + 2(x + 2) (1 * 3 + x * 3) + 1 = x + 2(x + 2) (3 + 3x) + 1 = x + 2(x + 2) Reorder the terms: 3 + 1 + 3x = x + 2(x + 2) Combine like terms: 3 + 1 = 4 4 + 3x = x + 2(x + 2) Reorder the terms: 4 + 3x = x + 2(2 + x) 4 + 3x = x + (2 * 2 + x * 2) 4 + 3x = x + (4 + 2x) Reorder the terms: 4 + 3x = 4 + x + 2x Combine like terms: x + 2x = 3x 4 + 3x = 4 + 3x Add '-4' to each side of the equation. 4 + -4 + 3x = 4 + -4 + 3x Combine like terms: 4 + -4 = 0 0 + 3x = 4 + -4 + 3x 3x = 4 + -4 + 3x Combine like terms: 4 + -4 = 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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