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