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Simplifying 9x + -2[x + -1(-3x + 1)] = -1(3x + 5) + 4x + 7 Reorder the terms: 9x + -2[x + -1(1 + -3x)] = -1(3x + 5) + 4x + 7 9x + -2[x + (1 * -1 + -3x * -1)] = -1(3x + 5) + 4x + 7 9x + -2[x + (-1 + 3x)] = -1(3x + 5) + 4x + 7 Reorder the terms: 9x + -2[-1 + x + 3x] = -1(3x + 5) + 4x + 7 Combine like terms: x + 3x = 4x 9x + -2[-1 + 4x] = -1(3x + 5) + 4x + 7 9x + [-1 * -2 + 4x * -2] = -1(3x + 5) + 4x + 7 9x + [2 + -8x] = -1(3x + 5) + 4x + 7 Reorder the terms: 2 + 9x + -8x = -1(3x + 5) + 4x + 7 Combine like terms: 9x + -8x = 1x 2 + 1x = -1(3x + 5) + 4x + 7 Reorder the terms: 2 + 1x = -1(5 + 3x) + 4x + 7 2 + 1x = (5 * -1 + 3x * -1) + 4x + 7 2 + 1x = (-5 + -3x) + 4x + 7 Reorder the terms: 2 + 1x = -5 + 7 + -3x + 4x Combine like terms: -5 + 7 = 2 2 + 1x = 2 + -3x + 4x Combine like terms: -3x + 4x = 1x 2 + 1x = 2 + 1x Add '-2' to each side of the equation. 2 + -2 + 1x = 2 + -2 + 1x Combine like terms: 2 + -2 = 0 0 + 1x = 2 + -2 + 1x 1x = 2 + -2 + 1x Combine like terms: 2 + -2 = 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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