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