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Simplifying 8x + -6 = 2[x + 3(x + -1)] Reorder the terms: -6 + 8x = 2[x + 3(x + -1)] Reorder the terms: -6 + 8x = 2[x + 3(-1 + x)] -6 + 8x = 2[x + (-1 * 3 + x * 3)] -6 + 8x = 2[x + (-3 + 3x)] Reorder the terms: -6 + 8x = 2[-3 + x + 3x] Combine like terms: x + 3x = 4x -6 + 8x = 2[-3 + 4x] -6 + 8x = [-3 * 2 + 4x * 2] -6 + 8x = [-6 + 8x] Add '6' to each side of the equation. -6 + 6 + 8x = -6 + 6 + 8x Combine like terms: -6 + 6 = 0 0 + 8x = -6 + 6 + 8x 8x = -6 + 6 + 8x Combine like terms: -6 + 6 = 0 8x = 0 + 8x 8x = 8x Add '-8x' to each side of the equation. 8x + -8x = 8x + -8x Combine like terms: 8x + -8x = 0 0 = 8x + -8x Combine like terms: 8x + -8x = 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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