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Simplifying 2[x + 4 + -3(2x + -1)] = 3(4 + -3x) + 2 + -1x Reorder the terms: 2[x + 4 + -3(-1 + 2x)] = 3(4 + -3x) + 2 + -1x 2[x + 4 + (-1 * -3 + 2x * -3)] = 3(4 + -3x) + 2 + -1x 2[x + 4 + (3 + -6x)] = 3(4 + -3x) + 2 + -1x Reorder the terms: 2[4 + 3 + x + -6x] = 3(4 + -3x) + 2 + -1x Combine like terms: 4 + 3 = 7 2[7 + x + -6x] = 3(4 + -3x) + 2 + -1x Combine like terms: x + -6x = -5x 2[7 + -5x] = 3(4 + -3x) + 2 + -1x [7 * 2 + -5x * 2] = 3(4 + -3x) + 2 + -1x [14 + -10x] = 3(4 + -3x) + 2 + -1x 14 + -10x = (4 * 3 + -3x * 3) + 2 + -1x 14 + -10x = (12 + -9x) + 2 + -1x Reorder the terms: 14 + -10x = 12 + 2 + -9x + -1x Combine like terms: 12 + 2 = 14 14 + -10x = 14 + -9x + -1x Combine like terms: -9x + -1x = -10x 14 + -10x = 14 + -10x Add '-14' to each side of the equation. 14 + -14 + -10x = 14 + -14 + -10x Combine like terms: 14 + -14 = 0 0 + -10x = 14 + -14 + -10x -10x = 14 + -14 + -10x Combine like terms: 14 + -14 = 0 -10x = 0 + -10x -10x = -10x Add '10x' to each side of the equation. -10x + 10x = -10x + 10x Combine like terms: -10x + 10x = 0 0 = -10x + 10x Combine like terms: -10x + 10x = 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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