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Simplifying 3(x + 2) = 5(x + 1) + -1(2x + -1) Reorder the terms: 3(2 + x) = 5(x + 1) + -1(2x + -1) (2 * 3 + x * 3) = 5(x + 1) + -1(2x + -1) (6 + 3x) = 5(x + 1) + -1(2x + -1) Reorder the terms: 6 + 3x = 5(1 + x) + -1(2x + -1) 6 + 3x = (1 * 5 + x * 5) + -1(2x + -1) 6 + 3x = (5 + 5x) + -1(2x + -1) Reorder the terms: 6 + 3x = 5 + 5x + -1(-1 + 2x) 6 + 3x = 5 + 5x + (-1 * -1 + 2x * -1) 6 + 3x = 5 + 5x + (1 + -2x) Reorder the terms: 6 + 3x = 5 + 1 + 5x + -2x Combine like terms: 5 + 1 = 6 6 + 3x = 6 + 5x + -2x Combine like terms: 5x + -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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