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Simplifying x + -1[2 + 2(x + -1) + -3x] = 6x + (7 + -4x + -2) + -5 Reorder the terms: x + -1[2 + 2(-1 + x) + -3x] = 6x + (7 + -4x + -2) + -5 x + -1[2 + (-1 * 2 + x * 2) + -3x] = 6x + (7 + -4x + -2) + -5 x + -1[2 + (-2 + 2x) + -3x] = 6x + (7 + -4x + -2) + -5 Combine like terms: 2 + -2 = 0 x + -1[0 + 2x + -3x] = 6x + (7 + -4x + -2) + -5 x + -1[2x + -3x] = 6x + (7 + -4x + -2) + -5 Combine like terms: 2x + -3x = -1x x + -1[-1x] = 6x + (7 + -4x + -2) + -5 Remove brackets around [-1x] x + -1 * -1x = 6x + (7 + -4x + -2) + -5 Multiply -1 * -1 x + 1x = 6x + (7 + -4x + -2) + -5 Combine like terms: x + 1x = 2x 2x = 6x + (7 + -4x + -2) + -5 Reorder the terms: 2x = 6x + (7 + -2 + -4x) + -5 Combine like terms: 7 + -2 = 5 2x = 6x + (5 + -4x) + -5 Remove parenthesis around (5 + -4x) 2x = 6x + 5 + -4x + -5 Reorder the terms: 2x = 5 + -5 + 6x + -4x Combine like terms: 5 + -5 = 0 2x = 0 + 6x + -4x 2x = 6x + -4x Combine like terms: 6x + -4x = 2x 2x = 2x Add '-2x' to each side of the equation. 2x + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 0 = 2x + -2x Combine like terms: 2x + -2x = 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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